Bristol isn't too far away, so he could still live in Swansea, especially if his long-term plans are here. He could also rent the house out for a year or two. I don't think his buying a house means anything. I've seen players buy houses and then move a week later.
According to itv.com, Tate said this today: "I was only out of the side when I was injured, but that is part and parcel of the game. The injury was unfortunate but as I say, I am not a quitter so I will get my head down and put in a lot of hard work. My future is here because this is my club. I am not going anywhere and I have never thought about going anywhere." Seems Tate won't leave. ML won't push him out, he let him play against Barnsley..
When players say that they usually leave within a few days. If he really said it, then HJ and ML would already know he was staying, so why are they suggesting that it hasn't been decided yet.