learning to dance

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I'm thinking on learning dance (jazz and ballet specifically), but because of my age (I'm 19 actually without zero dance background), I suppose I am considered a very very late starter. But learning the basic foundations and techniques is something which I have always wanted to do, so I would really like to try it out. I understand that dancers do quite a lot of flexbility and muscle conditioning training, so is there anything that I should take note of before going for my first lesson (for e.g. how I should be physically prepared)? Besides, is it appropriate to start with ballet and jazz?