Should I try to move this feral cat with us?

Felix Navidad showed up at the house on Christmas day and (because I feed it) has not left the yard since. I would not have started feeding her (?) if I had known that we would be moving a few weeks from now. So, the question, of course, is do I trap it, take it to the vet, and bring it with us as an outdoor cat or leave it here to fend for itself with the new owners who have 2 big dogs?