I found the perfect house 10 year ago. It has a "hobby room" that is perfect for the dolls. I was able to keep the dolls in one room, with door closed so the cat can't get in. But, that only gave me the excuse I could buy more dolls! And, as you can see in the photos, it didn't help too much displaying them. I guess I just don't have any talent in displaying my dolls.
Just realize, it's going to take time. Be patient, and choose just a few to sell at a time. It'll eventually happen. And, you'll be able to enjoy the remainder of your collection a whole lot more. It took me many years to figure that out.
Now, that I've been able to reduce the collection, the room looks a lot different! There are still dolls, but they're mostly in the display cabinet and not all over the floor!
As you can see, I have boxes and packing material stashed in an alcove to use to ship the dolls to their new owners. By the way, those dolls are for sale!!!