Congratulations on your hamster!!
Domino is such an adorable name
Hamsters need a ton of exercise, so there is, as said, nothing wrong with keeping the wheel in full time. I am awaiting a silent spinner that I order a few days ago, but have put up with the noisyness of the first wheel for a week, just because I don't have the heart to take it away from my little Yzma xD
I would also take the fluff bedding out asap. If your hamster still isn't tame, it's a great trick to give him toilet paper that smells like you. Shove it up your sleeve for a while or something to get your scent on it. That way your smell will become familiar and comforting once he uses it to nest