Need Help with Wallpaper for Bathroom

I am obsessed with the idea of using wallpaper to elevate my dark (and drab) half bathroom. The walls were painted a deep purple by the previous homeowners and the best way to describe the space is "cave like" due to the color. It's just not my style! After seeing this roundup of the best wallpapered bathroom redos, I'm feeling even more inspired to kick start this project — but I don't know where to start!

Would love some wallpaper brand recommendations that are DIY friendly, as well as any tips you have for someone applying wallpaper for the first time. I have to do a skim coat to smooth the walls, so would love some advice on that, too!