Good choice - I am fairly sure those wheels are identical just not branded as Trixie
I like the photo of him in the wheel - he looks like he likes it! Looking at the other photo you could maybe do with another couple of inches of substrate in there - that might make him feel cosier and more at home as well. Otherwise as long as he has plenty of nesting material (torn up white strips of toilet paper) he should settle in now. Best to leave him alone completely for 2 or 3 days now though as they need that time to scent mark things in the cage and settle in/work out what's what. Just put food out quietly and when he can't see.
Sometimes when they bar chew it's because something isn't right - eg wheel too small or not enough substrate or nowhere dark enough (ie too much open space above them and no shelf) or something that isn't accessible (eg food on a shelf where they can't get up to). So if anything like that is sorted, then hopefully he'll just settle in
Did you leave the shelf in the Trixie? If so he has somewhere to retreat to/sit under. A little house or cardboard box house under the shelf could be a good idea as the house on the shelf has holes that are a bit too small for Syrians and they can get stuck in the holes. Plus they are better nesting on top of substrate so they can bury their hoards and be able to snack in bed