Congratulations on your excellent credit score! The VA loan is the best loan you can get and you've earned it. Thank you for your service. The VA loan will allow you to have "no money down" for the downpayment. The closing costs are usually around 3%, ask the seller to pay for your closing costs and or prepaids. You will need money for the inspection and appraisal on the home.
As far as an offer price on a home, have your real estate agent look up the past listings for the property. They should also pull the area solds for the past 6 months. You will better be able to determine what you want to offer for the home when you have the proper information.
If you are not working with a Realtor as a buyer, find one! Make sure there are no fees to work with the agent you decide on. We are paid by the sellers in most cases and it is free for you to have your own representation as a buyer.
If you have any questions, please feel free to email me any time.