Your credit is good, there's no reason you couldn't buy a house. Lenders look at other criteria too such as income & expenses, available credit, etc. The basic loans are conventional with a 20% down payment, FHA with 3.5%, VA with 0%. Your interest will vary, the numbers you see today will likely be different tomorrow, or even later today, as rates change all the time. Don't shop lenders based on interest rate, they'll all be competitive when it comes down to locking your rate in. Instead, compare their fees. Also, not all lenders are alike, some of the larger ones are more difficult to work with than a smaller lender who have the flexibility to inject some common sense in certain situations. There are also loans on bank owned properties based on who owns them if the property and buyer qualifies. Your best bet is to talk to a few lenders to see what type of loan you'd qualify for. I can help you figure out your likely loan type and help you with lender fees.
Let me know if I can answer any other questions, or if you'd like me to send you some direct lenders to talk to. Often, banks ask buyers to be approved with a direct lender, as opposed to a broker, who could be anyone.