They more or less mean the same thing but are used different. For example commit when used when giving trust to, or being in charge of something. Like committing to an idea, or a certain standard of behaviour. You wouldn't really use this for brands, unless you're committed to the success of it. Which, I think would make not much sense unless you're on the board. Devoted is like you're or you have a devoted friend, husband, wife and so on. You can be devoted to a cause, purpose. Like you devote your time to reading once a night, or you devote your time to help others. Dedicated is committed to something, like an ideal, political cause, personal goal. When dedicate is used with an object it can be like this: She dedicates her life to be the best mother. I think loyal is the only one you can use for brands, even that sounds weird for me but I'm not a material person. For example you are loyal to xyz sportsman, you follow him more than the team or you are loyal to xx team more than who plays on the team, you're loyal to that brand team or individual. You are loyal to xyz shoes because you think they are the best. For traveling to places I haven't heard those words used for that. For that you can say you enjoy or like your visits to a certain place.

Nastya, thank you very much!)

Just wanted to share something with you. Dedicated may be used in such a term - dedicated development team. It's when you have a team of software developers but they are located somewhere else. Example: https://mobilunity.com/blog/hire-dedicated-developers-10-reasons/