I've got both of these types of Anemones. The second one seems to be more of a problem because they get everywhere, even on the glass.
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Here is another one of the curlicue varieties in the tank:The first one seems like something else, maybe a curlicue anemone. Aiptasia usually have smooth tentacles.
This is above the last picture. Pretty bad infestation:Yeah, looks like a Curlique/Corkscrew Anemone, Bartholomea annulata, and "True" Aiptasia, Exaiptasia diaphana.
The Curlique shouldn't be too bad, IIRC, but the Aiptasia is already visibly reproducing in your tank (you can see a little one in the pic below the big one).