Kalysta

Trashy spelling of a nice name.

It's a very nice name, but I would use the spelling Kallista though.

Ugh.
This spelling just does *not* look good. And like the above person said, someone with this spelling will have to keep correcting people. Just go with Calista, or perhaps Callista (which is my favorite spelling).

I don't think you should use Kalysta. To me, Calista simply looks "cleaner", or nicer, I guess. No one will know how to spell her name. After awhile, you tend to get tired of spelling your name out to people. (Believe me, I've had to do that a lot.)