Hi Driftr, and welcome!

My routine is almost identical to ReardenSteels, and I happen to have the very same toothbrush holder for my blades... and a couple of test tube holders, too.

By the end of the shave, my blade has already been rinsed a few times--it's not quite the mess you're imagining yours to be. I run hot water into my lathering dish and brush, and get all that rinsing taken care of while the water runs hotter. (I shave cold, so the hot's not as hot as it could be right away). Once the brush is shaken out and hung, I turn to the razor and rinse the blade well. I don't rinse between the scales 'cause nothing gets in there, and I don't want to leave water hiding out in the wedge. I run the hot water on the whole blade and on the tang as well, to make sure all the steel gets really warm, then I fold a towel over the spine but don't let it touch the edge, and pull the blade through for a drying wipe. I wipe the tail, and as much of the tang as I can reach. Then I tear about a two-inch width of paper towel and fold it so I can run it between the scales. I pay special attention at the wedge end and even more at the pivot, being sure to wick out any water that may still be hiding out. I do a stropping action, one pass on each side, against a dry towel or a pants leg to get any remaining moisture off the edge, (note that I consider the edge a separate part of the blade, and treat it with the most care of anything), and strop it 20 times on leather.

This postshave stropping does the final, microscopic cleaning of whiskers, skin flakes, and soap residue from the edge. Corrosion happens at surfaces, and since the edge is so thin it's almost all surface anyway, and a little corrosion goes a long way. (I initially typoed "goes a long wah," which isn't all that far off, given that it's the noise you'll make upon discovering such corrosion). If you live somewhere really humid, you might want to oil your blade before putting it away. I prefer gun oils since they never bead up on the steel like I've had mineral oil do.

Two other things I like to do to my razors: 1) Put a drop of tuf-glide in the pivot area. This is the oil the SEALs use on their gear. It's supposed to leave a waterproof coat when the carrier evaporates. 2) Put a coat of Renaissance Wax on the blade. This won't protect the very edge or, probably, the spine, since it will be worn away by stropping. It does offer the rest of the steel some good protection, but my favorite thing is how it makes the blade so much easier to rinse clean. All the lather/whisker/skin debris just slides right off. You can also use it on the scales. Very, very shiny. It's museum-quality wax; you can use it on just about anything. A little pricy for your hunting boots, though.

Have fun, go slow, enjoy the rituals. Best wishes to you.