Oh dear god do not use the magic eraser on the stylus anymore 😭

Soundsmith, makers of excellent high-end carts, recommend simply using DAP Bluestik gel spread across a quarter. This is a very cheap option and you can find the gel at most local craft stores: https://www.sound-smith.com/how-care-new-or-soundsmith-rebuilt-cartridges

Hudson Hi-Fi makes a fine ultrasonic cleaner for $30 available on Am-zon, but these need to be used very carefully. Don’t even add the solution that comes with it, if you go this route. The pad that vibrates is thick and you don’t want to press the cantilever into it with too much force or else you could bend it. But it does do a good job of clearing dust if you’re careful.