Put fenders on the bike and ride it in the rain.
I dont bother cleaning after every wet ride otherwise i would spend more time cleaning than riding. If the chain lube has been washed off I usually wait till the next morning to re-apply on a dry chain.

I winterize my everyday bike: wax the frame, exposed cables and bolt-heads, keep my bearings full of lube and grease all metal-metal contacts such as seatpost, stem, pedals, bolt threads.