Currently, here's the flooring we have: Cheapo slick ceramic tile in the kitchen and dining room, and stained wood flooring in the living room.
We have an elderly dog who has accidents, and she falls a lot on the current flooring in the kitchen and living room. We have tried putting down non-slip mats, but that's not working well. We also have two younger dogs who may someday be in the same shape as our current oldster, so we want floors that will be suitable when they get old or have an accident.

We need to do something about the wood flooring, because it looks pretty bad. Liquid sometimes wicks under the non-skid mats and a few times we didn't see it, and it left stains.

The kitchen tile doesn't need to be replaced, but we've always hated how hard and slippery it is. It's not just slippery for the old dog - it's kind of a broken bone waiting to happen for people, because it's like glass.

So, here are the qualities I'd like in any replacements:
- Good traction.
- Impervious to liquid
- Durable
- No chemical smell because I'm sensitive and worried about off-gassing

Cost is a factor - we don't have unlimited resources.

I've looked at some other posts here and I see that some people do fine with dogs and hardwood floors, but that's obviously not worked well for us.

Is there something you would recommend? I was leaning towards commercial-grade ceramic tile for the kitchen, since that tends to be non-slip, but that's a cold look for the living room. Are there better alternatives?