Luckily we only had one wall of wallpaper to remove in this house. I removed the wallpaper as part of the 'demolition' stage, while the carpet was still in the house, so I didn't have to worry about the bits of wallpaper falling onto the hardwood floor.
I used Zinsser DIF Wallpaper Stripper Liquid Concentrate. I mixed this product with water, according to the directions on the back of the package. I rolled the liquid mixture onto the wall using a foam painting roller. I left the product soak on the wall, using the time recommendations on the back of the package. I found it easiest to apply the product to the top of the wallpaper, allow it to soak, remove the top layer of wallpaper, apply another coat of the wallpaper remover, let it soak, and then scrape off the bottom layer of residual glue and paste. I wiped the wall down afterwards and let it dry.
When removing the top layer of wallpaper, use a 4" putty knife to lift the edges and try to gently pull off the paper in as large of pieces as possible. It helps if you lift the edges with the putty knife and then use both hands to pull the wallpaper. As I mentioned, a second coat of wallpaper remover to often required to get the bottom layer of residual glue and paste.
And look at what we found underneath the wallpaper .... another shade of pink!