The list of deductions is the same as before you had the home. The main difference is that mortgage interest and real estate taxes will easily carry you over the standard deduction, and make it worth your while to itemize your deductions.
I deduct state/local income taxes, mortgage interest, real estate taxes, charitable contributions, and that's about it. If you paid points on your mortgage, then those are deductible for last year's tax year as well, but they are a one time deduction that takes place the year of your home purchase (they can push you over the top of the standard deduction if you bought late in the year and don't have a lot of mortgage interest). As a single filer, I claim 2 exemptions on my withholdings, and still am getting over $1400 back this year as a refund.
There are all kinds of other things that get deducted on Schedule A. There are medical expenses, but you have to exceed 7.5% (I think?) of your gross income in order to list those. If you have personal property taxes where you live, those get deducted as well. I use TaxCut from Kiplinger to file my taxes, and they cover quite a few bases. I've never played around on the fringe (like trying to deduct cost of computer or tax preparation software) as I feel I would only squeeze an extra $10-$20 bucks out, and it's just not worth it. You can talk to a professional tax preparer and they can give more detailed information if you really want to squeeze every possible dollar out of Uncle Sammy.