Where To Paint First?

We've a decision to make, some time in the next few weeks, and that's what room we're going to paint first. We're not going to do anything fancy; just get the furniture away from the walls, strip the wallpaper (two layers in most places), and paint it plain white. Other colours, feature walls with wallpaper, and so on, will follow when we know what the light is like. At the moment, though the existing wallpaper is just not doing the place any favours.

The kitchen will be awkward to work on, and I think I'd really like to get another room done first. That would be the upstairs bedroom or the sitting room/library, really, and I'm leaning heavily toward the latter. Sure, there are lots of bookshelves in there, but the books are not in any real order at the moment, so taking them off the shelves and putting them back half-randomly won't do any harm. In the bedroom, there's less furniture to move, but we need to sleep in there, so I'd like to get it done in one day, if it were at all possible. And knowing if that's possible needs the practice of doing another room first.

I've never actually done wallpaper stripping before, though. I was considering the notion of just painting the wallpaper, but I'm told that the result is inevitably unpleasantly sagging wallpaper and uneven colour. So that's out.

Expect "before", "in progress" and "after" photographs when we get going.