If you want to nail a floor down, you need to have something to nail it to. Therefore, you will need a 3/4" plywood subfloor properly installed over the concrete. The key word here is PROPERLY. This type of installation is best left to a professional.
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after I lat down the new floor, the trim piece is normally how long? Would I have to have two trim piece connecting to go from wall to wall? I am just worried that if I have two trim pieces together that the seem of the pieces will be noticable.
I don't have any idea what you're talking about. Are you refering to the baseboards or door casings?