Couple things:
I'd just like to point out that I'm
really restraining myself here from commenting on the pic. The "hairless feline" is just begging for a crude joke or two, but... I'm better than that and this is the general forum area and, well, I'm not Dutch so I'll keep it clean...for now.
As for cleaning up pet fur, oy! Years ago I worked for a cleaning company and had some clients that had a bunch of dogs, all long haired breeds. It was a middle-aged gay couple with a large,
fully carpeted, old house in a "historic" part of town. Of course their dogs were their "babies" so they had the run of the house (except when I was cleaning). Literally every week I would fill an entire Electrolux vacuum bag with dog hair (fur). I'm serious, it was every week! I would vacuum for 5 hours -- yes, 5 (five) hours every time I went there. This included all the furniture, sofa cushions, etc. It was insane! I love dogs but shit, this long-haired stuff is a non-starter for me now, lol.
So, my advice is to hire a cleaning lady (or guy) and make sure you've got a good vacuum for them to use (or that they have one of their own that is good at picking up fur). Also, make sure they're not robbing you blind while in your home (the cleaning people, not the cats, after all, cats don't steal much as they don't have pockets and can't really hide your pilfered prescription medicine very easily -- just FYI).