Our Maine Coon just got his yearly clipping. (He’s a docile pushover, so we just do it ourselves in the afternoon while he’s napping on the couch. I mean, he doesn’t sleep through it, but it helps if he’s sleepy.) He doesn’t shed constantly, but he does blow out his prodigious winter coat right about this time every year. As soon as the brown tumbleweeds start rolling through the house, he gets his coat clipped short. That way, what he does still shed is very short - it doesn’t mat and it doesn’t form sentient beings under the couch. It also cuts way back on the whole regurgitated hairball issue.
My mom’s cat was a constant shedder, and she bought a supplement. There are a few on the market, but basically they’re all yellowish oils you dribble on their kibble. She reported very favorable results - much less shedding. Then again, she’s cheap and wasn’t feeding the highest-quality kibble around, so the supplemental oil basically made up for sub-par nutrition.
Also, brush frequently with one of those big flat slicker brushes. You can put the resulting mats of fur outside for the birds to line their nests!