RFeldes has a great suggestion about checking into a VA loan. As I've never been in the military so I don't know what is available, but if there is something like that, deffinitely worth looking into!
Otherwise, you already said you'd be interested in a 15 year, fixed loan - GREAT!!! You might even be able to do a 10 year. Here's an example: A 50k loan at 8% is $606.64 per month for 15 years, $477.83. If you do zero down (traditional load - don't know about the VA option), just remember the PMI (mortage insurance) that is required until you get to 20% down, then you have to refinance. You already said you'd like fixed - don't let anyone talk you into an ARM, balloon or sub-prime - all terribly risky. I would say look into zero down as long as you can get a FIXED & not-sub prime loan. Please do not wipe out your savings account (ever).
And do your research - ask the realator why the house is selling for $47k, check out other houses in the area to see whet they are worth.
Check this out: http://realestate.yahoo.com/Homevalues Enter the address, instant estimated value and values of nearby houses.