Since you are definitely moving, put as much stuff into storage as you can. I actually think one trainer in a guest room is not a big deal. You just want enough stuff so it looks like a house but a really spacious and clean house. If you live in a "hot market" this should be over really quick!
This. Focus on making your house sellable, not advertising your pastime/sport as a cyclist. Listen to your stager that what she's hired for.
If you have an amazing bike garage that could be a selling point to other cyclists!
Not likely. The rooms need to be neutral. Let the potential buyers imagine their own ideas.