I use the proper amount of paste so there isn't enough to really cause any tears. The tips that look weak I put back in the box for my ears and I use the tightly wound ones.
I just use paint stripper or my sisters nail varnish remover. I know.. some people do not recommend using them for various reasons, but I have always found them to work great with no noticeable side effects.
I recommend strongly against this, too many adulterants and acetone can damage certain plastics quite severely. Alcohol is the way to go, isopropyl or ethanol.