I think it depends on what you are looking for. You should have good access to deer hunting in any part of Texas. You can also do that in the Panhandle of Florida, either in Florida proper or into Alabama. Great saltwater fishing along the panhandle. I have caught big azz Red Snapper six miles off the beach.

Tampa will have good saltwater fishing and good fresh water fishing near-by, but you will be a long ways from any really good deer hunting. I had a guy in my deer club in SC last year that lived in Tampa and drove 9 hours up on the weekends to hunt deer.

Remember, if you have kids and move to Austin, they will be exposed to all the liberal kids.....I'd not want that.