Bicycle falls in Class 12, vehicles, and depending on what exactly you sell it can also fall in Class 37 or Class 11 or Class 39. Everything below is read from the USPTO's own list of accepted descriptions, not from an opinion about where it belongs.
Searching the USPTO Trademark ID Manual for bicycle returns 239 accepted descriptions, and most of them sit in Class 12. The manual is the list of identifications the office has already approved, so wording taken from it is pre-approved and settles the class at the same time.
The class follows from the identification you write, so "what class am I in" is really "what exactly do you sell". How the class system works covers the rest.
Vehicles or parts for traveling by land, air, or water.
138 accepted descriptions in the manual mention bicycle. For example:
You build, install, clean, or repair things like buildings, vehicles, or equipment.
22 accepted descriptions in the manual mention bicycle. For example:
Lighting, heating, cooling, cooking, or plumbing equipment.
12 accepted descriptions in the manual mention bicycle. For example:
You transport, ship, store, or arrange travel for people or goods.
11 accepted descriptions in the manual mention bicycle. For example:
Bicycle appears in 4 classes because what you make, what it is made of and the service of selling it are separate classes. Pick the descriptions above that match what you actually do.
Making bicycle is Class 12; a shop or online store that sells it is retail store services (Class 35), and a business that does both files in both.
Vehicles and their parts. Looking after them is a service, not a good: automobile repair is Class 37.
The class decides what a registration covers; it does not decide whether the name is available. Relatedness is judged on the identifications, so a conflict can sit in a class you never looked at: the same name in a different industry.
Check whether your name is clear for bicycle Searches the live USPTO register, including sound-alike and meaning-alike names. First search $2, then $5.Bicycle sits in Class 12, vehicles. That is where the USPTO's own ID Manual puts it: 138 accepted descriptions mentioning bicycle fall in Class 12. Depending on exactly what you sell it can also fall in Class 37 or Class 11 or Class 39.
You file in every class you actually use the mark in, and the USPTO charges its fee per class. Selling a product and also running an online store for it is two classes, not one. Filing in classes you do not use is worse than filing in too few: an application has to be supported by real use or a genuine intent to use.
No. The class decides what a registration covers. Availability turns on whether someone already holds a similar mark for related goods, and relatedness is judged on what the identifications say rather than on the class number, so marks in different classes can still conflict.
Not what you sell? Search the class finder for your own wording, or browse all 45 classes.