Sounds like my Bindi Loo. He has pretty long fur and he often sheds small amounts and then goes through a huge molt several times a year. This is occurring right now and he’s actually got bald spots all over, poor guy.
I use a small slicker brush (brush with wire bristles). The one I use is “Lil Pal’s” and is made for puppies and toy breed dogs. Works well on his thick, long hair. These brushes can be pretty harsh, though, so care must be taken when buns’ fur is thinner from shedding. After the slicker, I use the wet hands trick. This works amazing on any type of fur. I’ve sort of come up with a gentle plucking method I use with wet hands that works really well. He’s not a fan but it gets loose clumps out, especially near his tail.
Some bunnies’ are always shedding a little bit. My Mini-Rex for example. Some other buns will not shed at all until they molt. My Olivia, who has short, satiny fur is like this. So it really depends on the bunny.
During molting, it’s important to groom every day since whatever you are getting off could potentially end up in their belly during their own grooming. During non-shedding, I groom every other day.