Thanks to all.
I'm planning on getting a router, it crops up a LOT, so I'll get a flush bit.
I've built a saw board over the weekend so I will use this to get straight cuts on both sides. Hopefully then the flush bit and sanding will fix any (hopefully small) differences between the two sides!
Not sure what my (borrowed) circular saw is, but it could probably cut through two sheets. Even so, I'll do it separately as that seems to be the common advice above, thanks.