Answer: Delosperma is a succulent, growing best in full sunshine, with little to no water required during the growing season. D. cooperii is one of the two hardiest ice plants, tolerating 0 degrees F. if protected by snow or mulch.
Lantana is not so hardy and is often planted as an annual rather than treated as a perennial in your gardening region. You might try protecting it from severe cold, but it may not make it through until spring. Lantana doesn't adapt well to growing indoors so I'd leave the plant where it is and try protecting it with mulch through the worst of the winter weather. It may survive!
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