Hello, I’d like to travel through Mexico and see all the interesting places. I’d like to get an accommodation that is both cheap and safe. Would you recommend me some web-sides, where I can find it or some particular facilities? Thank you.

Maybe Quintana Roo, but I say Puerto Vallarta. It’s incredibly beautiful and safe. I went a few days ago, and will be heading back.
Hopefully this answers your questions.

http://www.visitpuertovallarta.com/

Good Luck and Have Fun!