I had a dermoid cyst with my first son. Was Found at first dating scan at 8wks. They monitored it and it grew quite large over the following four weeks so they decided to remove it. Had the operation when I was 16wks and everything went fine. Only in hospital a couple of days but they only let me go home so early as I was able to stay in bed at home for another few days (no kids to look after then). They gave me the OK to fly to Perth the following week for a holiday.
I guess it depends what kind of cyst you have. You may not need to have it removed or it may go on its own.
Best wishes,
Debbie