Last fall I potted up cuttings from all of my coleus. I have been keeping them under lights in my basement. Every week I check them for pests and pinch out tips. Unfortunately I brought some in with mealybugs and I spray any I see with Sun oil. I have finally gotten them under control.
My plan is to take cuttings from the plants in mid March. I will discard the old woody stalks I have over wintered. I like to root coleus cuttings in water for a week or until the roots are 1/2 - 1" long and then put them in small pots with potting soil. Since coleus like it warm like tomatoes I always tend to start my cuttings too soon. I can usually start putting them outside by the first week of May. I have about 20 varieties and several pots of each one take up considerable space under lights if I have to keep them too long.