I’m moving from a 900 sq./ft. apartment that runs entirely on electric to an 1100 sq./ft. apartment that uses gas for heat and hot water, and electricity for the rest of the utilities. I live in Cary, NC. Will this combo of gas/electric be more expensive for me, less expensive, or roughly even out to about the same? Any info would be appreciated! Thanks!

You always do better on gas. Not by much in NC, since you do not have a cold winter to heat. The summer will use air conditioner powered by electricity. The hot water cost is very little to begin with.