Remove your Sweet Caroline potato vine from it's pot and loosen the roots. Repot it in well-draining potting mix in a container one size larger than the original container, leaving 1 inch of space at the top. Tamp down the soil around the roots and water the plant well.
Place the plant in a brightly lit window. Place darker-leaved varieties in a south or west window to maintain their coloration.
Fertilize the plant monthly with an all-purpose liquid fertilizer or use 13-13-13 timed-release fertilizer pellets.
Check regularly for mealybugs, aphids, whiteflies and spider mites, and treat with insecticidal soap. Treat small mealybug infestations by dabbing with cotton swabs dipped in rubbing alcohol.
Trim Sweet Caroline sweet potato vines regularly to encourage branching and control growth. Root 4-inch or longer clippings by removing bottom leaves and placing in a glass of water.