Will I qualify for a mortgage? FHA or USDA?

I currently earn about $4,200 a month in rural Georgia. I want to buy my first starter home. I have $24,000 in cash saved, only debt at all is what I owe for my MBA and monthly payment is $98 per month. My credit score is a 780. Should I do a USDA? What are the interest rates ? What are FHA interest rates? Are interest rates any better for first time home buyer? Just worried I won’t qualify and I just want a small (900-1,000 sq ft) starter home.