I think that swimming is a great place to start because your body is supported, it is not-weight bearing and hence you are unlikely to injure yourself. It is also cool and soothing to be in the water--if you are not used to sweating, other exercises can feel overwhelming at first because of getting too warm/sweating.
30-minute gentle walks are a great idea too, just until you get a good sense of where your fitness level is at.
Dances: salsa (standard/LA), casino, rueda de casino, cumbia Colombiana, bachata, mambo, cha-cha-chá, merengue, reggaetón.
Currently learning: Mexican cumbia, danzón, Cuban rumba
Dances to Learn in the future: flamenco, tango Argentino, samba, belly dancing, bhangra, ballroom rumba
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