You should beable to grap onto fish (there fins or something on there body) to swim with them upclose. And maybe saddels for the fish if you want to ride ontop of them.

I’d feel bad for the organisms. Grabbing them would probably bother them.
This doesnt seem very mutualistic, dare I say Protean.
Surely there’s a more mutual way to have them aid you in transportation.
Perhaps they’d help you if you offered them something in exchange.