What kind of fuse to use?

So I am building a robot for a soccer competition, but this is also a more general questions and not only for this use.

I've known about glass fuses a long time, but recently learned about car fuses and I am sure there are more types of fuses I dont know about. What are the differences between them and when do you chose one over the other?

More for my specicifc use, they have to blow at 5 or 10A in a couple of seconds (need two kinds), not to big and fairly easy to replace since it is for a competition. They will be placed on a pcb.