Our house is mostly tile too. And it is 100+ degrees here.
We all wear spa slippers from a company called Yeah Baby. They design spa slippers and other supplies for spas all over the country. They are based right here in Chandler, AZ.
I think they work well on the tile. Plus, I like the whole spa-at-home vibe.
I've tried cushy house shoes, and they lose their cushiness after a while. Give me a sturdy pair of spa sandals with the foot massaging bumps on them anytime. Aaaaah!