I've personally found that the Last stylus cleaner really does improve the tracking. I tried the Magic Eraser bit, but it left the stylus sounding flat, until I cleaned it with the Last stylus cleaner.
Liquid Stylus Cleaners
I know that some of the cartridge makers, including Soundsmith, say not to use liquids and many of you don’t. From a manufacturer’s standpoint, I can definitely understand why - god only knows what some of us dopes (including myself) will be swabbing on there. I have used LP#9 after every side since 2005 when I returned to vinyl, and never had a problem. And I haven’t been surgically careful either. I do use a lighted magnifier to see what I’m doing, but I’ve brushed crap off the cantilever and never had anything migrate into the cartridge or experienced any of these horror stories I hear. So IMO at least, these warnings about liquids are somewhat exaggerated. Do you use them?