It usually is not "fairly simple"
(( It will help if your walls were properly primed before they put on the wallpaper, if not, it is gonna be a long haul.
With most vinyls, the top layer pulls off easily leaving the paper backing behind. Then usually if you soak with hot water, the paper backing comes off without too much effort, depends on the type of glue.
Try a small area and see what happens. If it seems it is gonna be a mess and a huge job, then buy enzyme wallpaper removers. What they do is soften up the original glue that was on the wall paper and that facilitates removal.
Some people make up some solution, using liquid fabric softener and claim that works too, but the proportions of what you use escape me, sorry.