Nice one! I've had limited success with those lens cleaners, preferring to strip it down, and clean the lens manually, as the disks with the little 'eyelash' thing attached can cause more damage than they cure. In a Sony Ps2 for example, if you use one of those disks, it rips a bit of metal from the lens unit, and makes the unit not read 1st DVD type disks, then any disk at all..
But good luck, hope it holds out for you, make sure you check the Cd's in car, as one might have a bit of chocolate/jam etc on the underside, and when you faff about in the car, not looking at the disk, accidents happen, and you might load a dirty disk back into the player.