Hi and welcome. Sorry your having problems searching for designs, I have added a link for you to follow and read then you will know how to search here. Under the Q&A section there are lots of posts with information on how to get the best out of Cute.

I find the best way to search is to use the tag way suggested below. I don't have a full moon, but I haven't searched for it either.

Welcome to Cuties!

It fairly easy if you use a link like this http://www.cuteembroidery.com/designs/tag/moon
In this case it gives only one design and that is not a full moon. But as a rule the tag system works well. Just replace 'moon' with whatever you are looking fo