Baby Sunrose (Mesembryanthemum 'Red Apple') sure is a pretty one! Although I've seen Sunrose growing in gardens here in Florida on occasion, I don't know if folks grow them as short lived annuals or if they survive year round. I tried growing them once but they didn't live long and I figured my lack of success was due to our high humidity.
Hopefully someone who grows these beauties as a houseplant or overwinters them inside will be along with advice.
We have many listed in our database:
http://garden.org/plants/searc...
The Delosperma, also commonly called Ice Plant are real beauties too:
http://garden.org/plants/searc...