I will give you a partial answer. "Hire"or "Rent" may be correct, depending on the situation. A motorbike would not be a good example though, so let's switch it for something like a truck.
01. "Rent a truck" means you are renting the vehicle, and you will probably do the job yourself;
02. "Hire a truck" means you are paying for a custom job. It sounds good, even though you are actually hiring the truck driver and his truck, not the truck itself.
I hope this will help.