If you plan to replace old flooring anywhere in the house, it's best to remove the base molding. Doing this will prevent you from damaging the molding during the project, and you'll end up with more professional-looking results.
This extra step is simple with the HYDE 9-1/2" Bent Pry Bar. First, cut through any caulk at the seam between molding and wall using a sharp utility knife; you won't want to risk pulling drywall paper off the wall when you lift the molding. Then, insert the pry bar's flat end between the molding and the wall. A few light taps with a mallet should be all it takes to wedge the bar into the crevice. Finally, gently pull the molding toward you and away from the wall.