Minimum credit score for an FHA loan is 620; however, each lender can have their own minimum (i.e. one lender might require a minimum of 680). FHA loans require a minimum of 3.5% down (of the sales' price). You'll pay mip (pmi) monthly if you put less than 20% down - so make sure to include this into your monthly payment when you're figuring out what you can afford (in my area, it's typically 1% of the sales' price annually, divided by 12 because it's paid monthly).
You do not have to be a minority or low-income, and you don't have to already own a home.
Lenders will typically look for 2 years of stable employment (3 if you're self-employed).
Family status does not matter.
I would highly recommend that you pick up some first-time homebuying books -- there are some excellent ones out there (many at public libraries). I read The Everything First-Time Home Buyers book and the Home Buying for Dummies book -- both of which I highly recommend. The books will teach you about different loans, identifying your wants vs. needs, what to look for when buying, and will walk you through the whole process (appraisals, inspections, lenders, realtors, etc.). Good luck to you.