Lint Roller. Lolli is a mini rex and I was having problems with combs too. I have the hair buster that is sold here, but it wasn’t grabbing her fur very well. Someone else on here with a mini rex suggested using a lint roller. Works great. It doesn’t really get out clumps but it got like a top layer of fuzz off if that makes sense. For the clumps, the best thing i’ve found is to just pluck them out. None of this goes over well mind you. lol Another thing that will help is wetting your hands and running them over her fur. I haven’t tried this because I can’t stand having fur stuck to me.
I found with plucking by hand, I put Lolli on my lap and she stuck her head under my arm and settled down even though she didn’t like it. So something to keep in mind to try if she puts up a fight.
Also, many rabbits continually shed year round with heavy molting periods. This is due to being in a temperature controlled environment. Lolli seems to have actual molts while when Eddie was alive, he was constantly shedding a little. A hepa filter near or where you keep her might help with allergies as well. 