"My brother will help you with the luggage", 'could' be expressing 'willingness': the fact that he's happy to do this for you.
It could also simply be expressing a future event. It depends on the context.
"Will", used to express 'willingness' is most commonly found in the "I" form of the verb...
e.g.
"My bag is so heavy!"
"Oh, give it to me. I'll help you with it."
"I'm going to be late for work!"
"Don't worry, I'll give you a lift."