Hello Remodel Mama, The Jolly is a square-edged bar liner used as an accent mid-field. The Quarteround is a contoured trim used to wrap over exposed edges (corners and exposed substrate) and can also be used as a horizontal accent element if you choose. Shaughnn

MK we have been in the flooring business for over 30 years. I am assuming you replaced the vinyl with Ceramic tile not vct tile. If so, you don't necessaritly have to use quarter round. You can use vinyl cove base, you can sit your base right on top of the ceramic tile, or use quarter round. However, you need to caulk in between the tile and whatever you choose to sit on top of it. You can get colored caulk to match the floor or wall or base. If the quarter round you use matches the rest of the house it will more cohesive but that is only if it compliments the colors in your tile. If it doesn't then match the quarter round to colors that are in that room.

I just had hardwood floors installed in my living, family, kitchen foyers,hallway, and ceramic tiles installed in my bathroom. My flooring is a medium hickory, the baseboards are a dark walnut. In the areas that they tore out the carpet there was no quarter round at all. In the areas that received the Hardwood floor, quarter round was added, the ceramic tile also had it. I and my flooring contractor believe that it is best that the quarter round matches the baseboard. I would have it match the base boards in all rooms. If it is painted, then painted it. If I am right, I believe that the quarter round is to cover the small void of wood/ceramic left by the wall for expansion. With carpeting the tack strip was up next to the wall, the quarter round is not necessary, but may give a uniform look to all the areas. Best wishes as you finish your home! Mary

Is that a 1"+ thick kind of paver/tile? If so, there's no perfect answer; the tiles vary, and are never set to a perfect line at the perimeter, so it's always a low-down dirty job to scribe the woodwork to it, but it's IMO uglier to grout up to already-placed baseboard. Casey