Talk to friends that have bought a house. Use their realtor or take suggestions on finding one. If you are already looking for homes, maybe call up that realtor and get a viewing. Some realtors are willing to negotiate commission if they represent the buyer and seller at the same transaction. If you do this, don't sign any paperwork the realtor presents you when showing the house. This (can't remember what its called) paperwork basically says you will use them for your home search. If you sign and don't use them, they may can make claim to you for commissions lost because of the paperwork, so be sure to not sign anything.
A realtor is your contact for an inspector. They will be there to guide you through that process. Don't be shy to ask for everything to be fixed. Everything is negotiable when buying a home, even the color of the carpet, walls and commission for a realtor.
Always get a home and pest inspection, even on a new home! Warranties are a waste of $ unless you can add it in as a seller-paid option. Maybe once you all are comfortable with the agreement, tack that on as a last and final counter-offer.
Personal property can't be transferred in a sale (well they can, but not tax free...). So if there are TVs or other appliances left there (even furniture), be sure to list it on the closing statement with a value of $0 or you have to pay taxes on it.
If you have $ for closing, that is great. But sometimes it may be more beneficial to finance closing costs if you rate is good. If so, offer a slightly higher offer to the seller and have them pay $3k of closing or whatever. Keep your $ in your pocket for updating, painting, carpet, etc. for when you move in.
I'm prob the only one here that things SOME HOAs are good. Not all, some. Finding one that is good is tough. Our HOA is pretty laid back. We pretty much make sure people don't park in the street, put up seasonal swimming pools, or paint their house pink. But some can be a real PITA. Do your research on the HOAs. Talk to neighbors and the owners of the house.
To get started, get pre-approved for a loan. Some realtors won't even take you around without providing them with a preapproval letter (understandably). Know your budget and look for homes. When you get back, you can have several set up to check out. With the down market, you should be able to get a decent deal.
Don't be afraid to low-ball someone. If the house has been on the market for a while and they owned it for some time, chances are the note isn't too much and they can afford to take a lower offer. Don't let the realtor suggest a higher offer as to not "offend" the seller. Remember, they get paid off of commission...
Credit Unions are pretty good for loans. Being in the military, you can prob. get a decent loan and rate from NFCU or something similar.
Good luck!