Here are some good instructions https://www.doityourself.com/stry/how-to-remove-quarter-round-molding
Hi DJ. I'm Cindy. Use a hammer and a pry bar. Begin your work in a corner. Put the pry bar behind the quarter-round and tap it with a hammer to create a small space between the wall and the quarter-round. Continue working in small increments and try to pry so that the entire piece comes off at once.
Hey! I agree with Cindy. We did this in our newer condo and it was a breeze. When we moved to our current house and did the same, we realized they had glued as well as nailed the quarter rounds. We still used the same technique as Cindy indicated previously, you will just need to pack a lot more patience!
I like the mini 7" pry bar for this job. You can get them at True Value Hardware Store.