As a disabled Vet, you would be qualified for a 100% VA loan, and the seller would be allowed to pay all of your closing costs and prepaids (assuming the house would appraise for that price.) Qualification depends on income, credit scores, and VA eligibility. If he has a 30% or greater disability, you should ask for the Texas Vet benefit to lower the interest rate.
If you found an assumption, the answers below stating that it would take some cash to get closed is probably correct. A purchase would get you the zero move in.
I suggest you discuss your prequalification with a licensed mortgage loan officer.