Ten years ago we bought our house. Out of 8 rooms and a finished basement, there were only two walls that were not wallpapered. When we bought we thought the paper was okay, but as the years went by we began to dislike it all. We have made an effort to rid ourselves of it. So far we have removed the paper in the living room, dining room, front hall, the master bedroom and the hall bathroom. We stilll have a ways to go. We have replaced the paper in the kids rooms. The paper in the family room and basement rec room are muted, so they are liveable. The master bath isn't too bad, but is starting to look worn. The kitchen is okay (DW likes it), but it is getting dated. I am eying the upstairs hall as the next place to tackle. The guest room is okay but a bit flowery for our tastes. We will see.
Anyway, I bought a steamer. It wasn't expensive and with so much wallpaper to remove, it was more than worth it. All of the wallpaper in our house is relatively new and some of it was easier to remove than others. It also depends if the walls were properly prepared before they papered them. You need to start pulling it down to see how easy it will come off.
The upstairs bath was a nightmare. The paper came down in pieces and left the glued backing on the wall. So I had to steam the wall twice and then scrape them with a plastic putty knife. Finally i had to sand the entire room to smooth the walls out. Even with all that they still aren't the greatest. The master bedroom, which is pretty big, wasn't half the work because the paper came off easily and the walls just needed a little sanding. Good luck, jay