Best Flooring? - if you plan to allow pets

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is there flooring for bedrooms that is perfect for pets in chilly Nebraska???

rehabing my 1st SFR, nearing the flooring portion of work. there is thin(1/2" or maybe a bit less?) and narrow hardwood throughout the 114 yr old house which seems to be original. too many areas to patch in the bedrooms(would have to find this unique type of hardwood and a good amount of it) so im originally planning to carpet bedrooms and attempt to refinish the hardwood in all other areas (pretty confident i can bring it back to life).

im second guessing this plan though, in this area its not realistic to completely say no pets so i might as well plan on it. 

based on reading the many past posts, carpet is cause of all things evil/devil anywhere in a rental?

so whats my options? i dont want to do fake hard wood in bedrooms and real hardwood in the living room. tile isnt realistic in bedrooms in Nebraska. Not in the mood to rip out all of it and put in 3/4" hardwood, i wanna get it wrapped up and onto the next SFR property/project.