What do you mean by "cleaning" the hardwood floor? What needs to be cleaned off them? Is the contractor going to sand the floors and recoat them with something? If it's just a matter of tearing up the carpets, I wouldn't pay $2700 for that. If the floors need sanding, I absolutely would never do that myself. (source: I used to own a floor sander and realized I shouldn't do that myself.)
Do It Yourself
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Yeah, the two things I'm willing to pay someone else to do is hardwood refinishing and drywall taping/plastering.
I'm with you. Sometimes I get stuck hanging drywall, but even then, I'll pay someone else to finish it.
Be careful with asbestos aswell, some old carpet glues had asbestos in them.
I don't know about glue, but it was for sure used as carpet padding in a certain Era. Worth looking up when that was and having it tested.
Use a parquet stripper.