Home or rent

So I'm new to the army. Got a house on base as an e4 and my wife is a SAHM & 2 kids. My lease is coming up but I've never bought a house before. I make 1500 bah, should I find a house that I can manage with bah? Would it be possible because I don't have much money saved for any type of closing costs & I wouldn't know how to go about all that. What would be smarter? In Fort hood for reference if it matters.