T.F.
I am not a carpet fan. I do have carpeting in the bedrooms, game room and library upstairs and IF I changed that up, I would certainly NOT have carpet on the steps. I am not sure if I would carpet upstairs or not.. I hate carpet.
That said, I live downstairs in my home. I have travertine tile in entry (large area) and 2 hallways.... LOVE this.
A few years ago, we removed carpet in formal living and dining and have very nice nailed down hardwoods. I would NOT want this very expensive but beautiful hard wood flooring in areas that get daily use. I do have a beautiful rug in the formal family area which brings warmth to the room.
Last year I removed existing carpet from living area, my master bedroom and mother in law suite and put in porcelain tile which looks like wood flooring. It is beautiful, easy peasy to keep clean and I love it, especially with my dogs. Mine looks so much like wood, that the house cleaner would not clean it because they "don't' do" wood floors. It is so durable and if my house were to flood, it will be ok. I LOVE this flooring. I have a another beautiful rug in the living area and a smaller nice rug in each master and MIL area. IF I were to rip out carpet upstairs, I would go with this porcelain tile certainly and accent with rugs.
My kitchen and bathrooms have tile which is very nice.
IF I were to move again, I would be looking at options that had no carpet.
As far as moving furniture back in to the house, I don't think I'd do that unless I had to. Around here, houses are selling before they officially hit the market or within days of hitting the market for the asking price and above. An empty raises a red flag. However, your market may be different so you can't go by what is happening in another market.
Follow the advice of your realtor. If you don't have one, get someone to help with this process to maximize your profits.