If I feel a need to do anything more that water (like, say, if I've had a rough year with disease, or ended up with used equipment for whatever reason) I use bleach. It'll work on either of those materials; just watch your clothes and do it outside if you like your carpets. Be sure to rinse thoroughly. A nice dry cycle in the sun is good, too, sunlight kills a lot of things (but often isn't readily available in February).
Your decision, obviously. I've raised chicks for years and never had a problem. By exposing them, it helps to build an immunity. Not trying to be contradictory, just sharing my experience. I guess if your equipment has been used by sick chickens, I can understand at least using soap and water. If the chickens that used it previously were healthy, I wouldn't worry about it. Again, that's just my opinion...
I can see what you are saying about just making sure it is clean. I got the equipment from my grandfather's barn and it hasn't been used in 30 or more years, so that's why I want to clean it pretty well. The barn was home to many different birds, rodents, raccoons, feral cats, and so on. Normally I just hose everything off, but this seemed like a special occasion that needed a little more attention.
Ooohh, can I come dig around in Grandpa's barn too? I love places like that, just full of treasures!
I'm normally with the just hose it off crowd, but in that case I might also give it a bleach rinse. Cause you really don't know who lived or died in/on the equipment. I think it's like ten to one bleach to water and be sure you rinse well.
For equipment for the brooder, I soak everything in a strong bleach solution.
I fill the brooder with the bleach water and everything is dumped into that to soak. After it is rinsed, I expose it to sunlight. The bleach will all evaporate off. Don't put chicks in it until you can't smell bleach any more.