I use the chain cleaning tool that came with a can of white lightning de-greaser. I removed the de-greaser can and clamped it to a can of Tri-Flo. I spray and spin for 4-5 seconds with it clamped around the chain and then run the chain another 10 seconds or so with no spray and then grab the chain with a towel and spin until the dirt is gone. This leaves the chain clean, with plenty of lube to set up in the rollers. It does not make a mess while doing it if you are careful but you will get some splatter on the floor if you are on a trainer for the first ride. Of course a little spatter will hit the bike on the first ride as well but a few second swipe with the de-greaser takes care of that. I can ride 500+ miles and still see a nice wetness seeping out of all the rollers.

It's a simple process and one can of Tri-Flo has lasted a few years with multiple bikes and two tandems and makes for a very quiet drive train.