Look for cracks, nail holes and loose paint or plaster on the walls. Fix them first ('eHow to Patch a Hole in Drywall').
Be sure that the walls are clean and dry and that every surface is either painted or primed. You don't want to apply paste to a surface that will just absorb it - the paper might not stick.
Remove all the electrical plates after you've washed the walls.
Plan to start papering in a place that is inconspicuous, and remember that your starting point will also be your ending point. (Corners and the areas behind opening doors are good places to start.)
Beginning at a doorway or corner, measure a distance that's an inch or two shorter than the width of your paper. Make a mark at this distance - be sure to make the mark as light as possible so that it won't show through the paper's background.
Using a carpenter's level and a pencil, draw a vertical line from the floor to the ceiling through this mark. If you start at a corner, be sure to use the level, not the corner, as your guide. You will align your paper to this line - again, be sure to make the mark as light as possible.
With a utility knife, cut a length of paper that's about 4 inches longer than the wall, from ceiling to baseboard. (With a large repeating pattern, you might have to cut the strips longer to make sure the pattern matches up from piece to piece.)
Apply paste to the paper (see 'eHow to Apply Paste to Wallpaper'). Or, if using prepasted wallpaper, follow the manufacturer's instructions. (Most professional installers apply paste even to prepasted wallpapers, but be aware that this voids some manufacturers' warranties.)
Start at the ceiling, aligning the paper with the plumb line you drew on the wall. Roughly 2 extra inches should flop against the ceiling, and 2 more inches should flop below the top of the baseboard.
Smooth the paper using a smoothing brush or a plastic smoother (which looks like a wide spatula without the handle). Remove wrinkles by pulling a section of the paper away from the wall until you reach the wrinkle. Smooth out the paper as you lay it back against the wall.
Smooth from the middle out, applying enough pressure to push out the bubbles but not pressing so hard that you stretch or tear the paper. If you have an air bubble that just won't budge, poke it with a pin and press down on the paper before the adhesive dries.
Trim the paper. Using a wide putty knife, press the paper against the ceiling, baseboard, or corner and trim it with a sharp razor blade. (The putty knife provides a straight edge to guide the blade.)
Continue with the next piece, aligning it with the one you just laid down. If a pattern just won't line up between two strips, match it at the most obvious spot - eye level.
Roll each seam with a seam roller, but don't press so hard that you squeeze out all the adhesive. Go back 10 or 15 minutes later and roll each seam again.
When you reach the end - the place where you started - you'll want to create a clean final seam. Lap the final strip of paper over the first strip and trim both simultaneously.
Be sure to wipe any excess adhesive off the paper, ceiling, baseboards and adjoining strips. Use a wet sponge, following with a dry rag.