Thanks, Onewish, for the begonia-comments. I do have 13 rex begonia cuttings growing on the lowest shelf of my light set-up (not visible in photo) that I started from leaf-cuttings in water and then transplanted into Pro-Mix. Several of them have got new leaves growing out--I think that these must be a lot easier to root than tuberous begonias.
Karen, are you suggesting that I take more coleus cuttings and grow these on, rather than keeping my rapidly-growing current plants around, which admittedly are going to take over completely very soon!! I've thought of giving family and friends some of the plants--I could make nice little combinations--but don't really know how coleus will do as houseplants in most people's relatively dry and warm indoor environments during the winter. My little plants are kept at about 50% humidity in my sun room, which is heated but stays between 50 - 65 F in the winter. I hate to give people plant-presents that won't do well for them.
I've never had a real whitefly infestation before. I note that I still have a few of the little white things on the leaves, but have also "caught" a lot of the little winged insects that I assume are responsible.
What systemic do you use?