One of the easiest methods for removing pesky glitter polish is using the foil method. To do this you paint your nails like you normally would then cut out pieces of foil when you are ready to remove your polish. You soak a cotton ball in nail polish remover, place it onto your nail, then wrap it all with your foil. After waiting about 5 minutes, you take off the foil and cotton balls. If any nail polish remains, simply wipe it off with the cotton balls already loaded with nail polish remover.
A tip I have is to cut all of your foil pieces then soak your cotton balls with nail polish remover first. Also cover your pointer and thumb nails (on both hands) last so you have an easier time wrapping your nails if you are doing it yourself. An added bonus to this method is that cutting the foil with your scissors will also sharpen them.