If you have not worked with laminate, here are a few bits of info:
If you have a specialty lumber or hardware store in your area, I would start there for laminate. Otherwise call the cabinet shops and ask if they can order some for you. There are vertical and horizontal grades available in some colors and styles, but most cabinet shops only stock the horizontal grade which is thicker. The vertical stuff is made for sides of cabinets that will be exposed but not really used as a working surface.. this would be ideal for you as it is quite thinner.
Regular laminate is a highly compressed and layered material, very dense. What this means is that a well cut or even scored and snapped edge is pretty much razor sharp. And a broken edge is even more so. I have suffered more than one nasty cut from this stuff, so be careful.
You can cut it with a table saw, a skilsaw, or score and snap it with the right kind of scoring tool. I clamp a board to my fence that is sitting about an eighth of an inch up from the table saw surface so that it holds the laminate flat on that end and doesn't curl up while I am trying to run it through the saw. I always give myself an extra inch or two all the way around, especially on big areas. I have come up short even when being cautious before because it shifted on me just a little when I started adhering it, and then not only is the entire piece of laminate ruined, but the piece you are laminating is junk too..
CURVES: You can laminate over curves that are fairly gradual without doing anything other than just bending it. However, any curve with a radius of less than about 3 inches is going to be tough to do without heat. Keep in mind that laminate only bends well in one direction. You can clearly see the grain on the back side, and run the grain perpendicular to the curve if you can. If you are going to heat it and bend it, you pretty much HAVE to pay attention to the grain or you will fail miserably. I have bent laminate over a 1" diameter curve (1/2" roundover) with success, although it was tough and took me three tries. You can use a torch or a heat gun to heat it, but you have to be SUPER careful you don't run it too hot or it will blister and ruin the laminate.. I would stick with a heat gun on low to start, even it can burn a piece very easily if you aren't being careful. A hair dryer won't get it hot enough for anything more than a bend you can do without even heating, so don't bother. You can experiment with scraps to see how hot you can get it before it pops, and you will pretty much see quickly when you have over heated it. It helps to have a jig of some kind if the curve is tight because you won't want to try to press the hot laminate with your hands and let it cool in place.. This is not an easy skill to master, but it is possible.. Once you get the curve you desire, it is even more difficult to glue it down because you have to nail the curve perfectly. I have seen some guys heat it up while gluing, but it is tricky and you can't do much heating as you will screw up the glue. Plus some cements are flammable and heat is never a good idea near them, lol.
You can use a few different glues to adhere it. Regular contact cement (ie elmers rubber cement) works but isn't ideal. It is SUPER potent, flammable, and if you aren't wearing a good mask and in a very well ventilated area you will likely be seeing rainbows and unicorns before you have finished your first coat. There are water based contact cements that work VERY well, and I would highly recommend them. I use the green stuff (not sure off the top of my head what it is called, but anyplace that sells laminate will know).
I use foam rollers and brushes to put it on. I start with the wood side because that side is more porous and will take 2 coats and dry fast. Get one nice even coat on it with the roller. Pour the glue onto the wood, don't try to use a tray or anything, it will only create problems. Spread it out and roll it even. Then go back over it with a brush, which will take out bubbles and help adhere it to the wood better. Keep it dust free (this is critical). Then do the same on the back side of the laminate. You won't need as much on the laminate as it is less porous and will spread more. Roll it out, then brush it out. Then go back to the wood and do the same again.. be sure you are using a wet edge on the brush, if you tough it with a part of the brush or roller that has dry glue on it, it will stick and be a pain in the butt. If you make contact with two things that have dry contact cement on them, they WILL stick and you will end up having to peel up some or you will get a lump that will show through.
Once you have two coats on the wood and one to two coats on the laminate (a second coat around the edge is usually what I do), and it is dry (the green stuff will turn pretty dark, almost transparent, and the surface if touched by a clean hand will NOT be tacky at all), then you are ready to lay the laminate down. Use dowels or cardboard strips every few inches to prevent from making contact before you are ready. Get it lined up as centered as you can, and then start in the middle and remove a dowel or strip and push it down until you make contact. Just like vinyl stickers, work your way in one direction smoothing it on with your hand or a roller, then go the other way. Once it is down, use a roller to apply about 90 pounds per square inch of pressure. In other words, push down pretty hard and roll the heck out of it. Be careful at the edges if you overcut it a lot, if you put your weight on the wrong side of the edge (the part with no wood under it) you will probably crack it at an inconvenient place..
Use a flush trim bit to trim off the excess laminate. If the edge is going to be exposed in any way, run a fine file at a 45 degree angle over it (basically ease the edge) or even a sanding block to get rid of the razor sharp edge. If you are laminating the perpendicular side, get one side done completely, (don't file), then tape the edge with painters or masking tape, then glue and laminate the next side. The tape will help with the cleanup of the glue, which will inevitably get on the laminate and have to be rubbed off, but mostly it will allow the bearing of the flush trim bit to rid on that newly laminated surface without scratching it. Be sure to clean and lube the bearing before each edge or it will gum up with glue and end up eating through the tape and the surface of your laminate. Once you have done the second side, use a file to put a nice 45 degree on the exposed edge. The tape will have given you a slight protrusion of the second edge, so you HAVE to file or sand it anyway.. a nice 45 will just look good.
ANY debris or gobs of glue under it will have a lump, and there is pretty much nothing you can do about it. This is why it is so critical to keep it dust free. If an edge comes up on you, you can try to use a clean putty knife to raise it up as high as you can, wedge it open, then use a small brush or qtip to apply more contact cement to both surfaces, then let dry for a while.. (usually an hour or more), then remove the wedge and roll it down really firmly. This has worked fairly well in the past, and things like super glue, silicone, or epoxy have seldom held up for more than a few weeks. Best to get it right the first time though.. Do it right and you will have a VERY nice surface that will last for a long time. Do it wrong and you will be better off starting over because it will bug you..