Considering the line is secured by the equity in the home, your rate should definitely be less than prime.
However, I do suggest that you take as small a 'line' as you possibly can. Remember that when someone checks your credit they are going to see that you have a credit line of $X dollars. That can count against you. Lenders look at an available amount as being totally utilized (since you could go out tomorrow and rack up your credit to the limit). They are often lenient on mortgages, but lines of credit are a different story, expecially when they are secured against your home, which by the sounds of it is your only source of real equity.
You say you are good with money, but how then did you get to the point where you had to take equity out of your home to pay off loans/debts? I ask because you should really look at your spending habits. You might just go out and spend all the money in your line of credit. Then where are you at.
When someone has to cash in home equity to pay off debts, alarm bells should be going off. However, I don't even agree with home equity loans to do improvements. It's self defeating. You have a nicer house, but you owe more on it. If you can wait to do the upgrades until you can actually pay for it in cash, do so. Concentrate on paying your debts first, before you go spend money somewhere else. The motto I go by is "no debit, no getit!"
Sorry, don't mean to lecture, I just think people nowdays are way too lax with debt, and bastard banks are too easy at eating away at people's equity, as long as they can get interest payments out of it.