+1 on the value of the chain cleaning gizmos. They are fantastic and make it easy to do a good job right on the bike. But if you're doing this without the benefit of a bike stand then be sure the bike is leaned out far enough that the solvent on the chain that drips off isn't spilling onto the tire and rim sidewalls. That's hard on the rubber and the lube residue from cleaning the chain makes for interesting braking later.