Yeah, we thought of that. Neither of us sweat a lot, so I'm not sure it's a huge concern for us personally. And most of the commercial gyms we've been members of have had carpet (albeit very short, commercial carpet). But I agree, something easier to clean is a big plus. On the other hand, it needs to look nice and match the overall finish level of the house, so I don't think vinyl or linoleum would do it.

rubber is a good idea, and yes it can go right over concrete. My suggestion is look into a product commonly used in gyms, and indoor sports centers called MONDO. Here is a link that might be useful: Mondo flooring

Ram Board could also play a part. It is the 'tough stuff' they put down during construction to prevent damage to finished wood floors. It's great stuff. Very tough. Just do NOT tape anything to the wood. Tape the seams to each other and then lay the rubber flooring over top. And please be aware that rubber can be tough to work out around. The HIGH END stuff in commercial style gyms has been treated in such a way that it does not off gas too much. The homeowner access stuff can be pretty nasty (low end = $3/sf) with odour and continuous life long off gassing. The high-end stuff ($10/sf or more) is usually too high a price tag for homeowners to buy into. As someone who is allergic to latex and rubber, I can't walk into a tire shop let alone a gym with rubber flooring. The rubber mats are too much for me. I go into anaphylaxes within 10 minutes. Ambulance rides are not the way I like to end my workouts.

Unfortunately the office in the bedroom is for my husband as he is currently working from home indefinitely and needs the privacy for phone calls and Zoom/Skype meetings. I was planning to have my desk somewhere in the main part of the house as I work at home occasionally, I still go in the office. Our house is 3 Bedrooms, Kitchen, small Casual Family Room in front of kitchen, and large open room (formal dining/living room) in the front entrance that is open concept. unfortunately there are no nooks, basement, or attics in the house which is why our space is limited. Each of the 3 bedrooms has a purpose: Master Bedroom that has limited space, Husbands office and he needs the privacy for phone calls, and the current guest room which will be utilized as a nursery/kids room in near future. The garage has both our cars already and we live in the desert where it gets over 100 degrees. So a gym in the garage is not an option.