Will this tray stay in place during turns and braking?

The rigid panel design grips the factory console opening and resists sliding. If you want zero movement, adhesive-backed liner or contact cement under the base will lock it down permanently.

Can I remove this later if I decide I don't want it?

Yes — it's not glued or bolted in by default, so you can lift it out anytime. If you do apply adhesive, test a small section first to make sure removal won't damage your console finish.

Does this come with any mounting hardware or fasteners?

The tray itself is all you get. It's designed to sit in your console as-is. Add adhesive or contact cement if you want permanent mounting, or leave it loose if you prefer to remove it for cleaning.