Re: floating wood floor
The thing with a floating floor is that you don't want it captive against any solid surface. Most floors recommend a gap of 1/4" to 3/8", this would include at door thresholds. The fix is to use a transition molding that will allow the gap, yet give the appearance of no gap. The trim strip will be "L" shaped for a threshold termination, so the gap you leave between the flooring and the threshold will be 1/4" PLUS the thickness of the "L". Install the floor, then come back and install the molding.
As for the base and quarter round, as long as your base and/or quarter round covers the gap between the flooring and the wall, you can install it however you like. I usually replaced the baseboard with a floor matching base that is also thick enough to cover the gap, negating the need for a quarter round. If you don't want to remove the base, then use a quarter round or other base shoe molding that is wide enough to cover the gap.
I suffer from CDO ... Its like OCD, but in alphabetical order, LIKE IT SHOULD BE!!!