I tend to just wipe mine with a soft duster, I bought a lens cleaning kit which comes with disc cleaner as well, but it doesn't really make much of a difference over a duster.
If your 360 is having trouble reading discs, then try a lens cleaner on it and have a blow into the disc slot when it's open. That should keep it at bay for a while. My old one struggled to read discs sometimes and I would just keep opening and shutting the tray until it decided it liked the disc.