Yes Maine Coon cats do shed a lot of their fur.
Maine Coon cats usually have more hair to them than other cat breeds and as a result the Maine Coon cat will shed their hair much more than other cats.
So you can expect to clean up hair from the Maine Coon cat more often than other cats but if you groom and brush the Maine Coon cat's fur often enough the fur shouldn't be much of a problem.
That's the way to keep shedding down and keep the hair from getting all over the place.
If you brush the Maine Coon cats fur often and remove the shedding hair then it won't get all over the place.