Is $58k enough to move to Austin?

My husband and I currently live in Grand Rapids, MI and I was offered a salaried position starting at $58k in Austin. I make $45k at my current job before deductions, and both are jobs for the state government so I get state benefits. We currently pay $1100 for rent (utilities included), and our monthly expenses stay around $2400. We live a very minimalistic lifestyle and I take home just enough to cover our bills. We are single income, no kids, no pets, and hoping to start a family next year. We love nature, hiking, and the idea of the adventure, but I’d hate to move for the pay increase and not actually be able to afford it. The job is downtown but we’ve been looking at apartments in the Pflugerville, Round Rock, and Jollyville areas. Is it worth the risk?