My parents haven't seen me perform in a while. Just be prepared, they may not relaize that your comedy has grown up with you. (ie when you swear they cringe. My parents are very Catholic and my Dad flips when I say JC. However, when I played a hooker they grew up a lot). However, theya re still your parents and will probably like you even if you do bomb out but I'm sure you won't. Think positive.
My Mom is having a hard time with me hosting at the East End Ensemble. (My first hosting gig in Brooklyn at night. This is not a plug for those of you dying to point the finger at me again and again and again and I know who you are). But point is, is that your parents do appriciate what you do and odds are they tell everyone. (My Mom is a water aerobics instructor who could kick the ass of Jack Valane and tells her ladies where I perform. My Dad is a college professor/lawyer and he tells his clients/classes where I've been in NYC). Plus they have all the places I perform on a door. (who can't tell my parents are teachers, huh). So your parents are probably doing the same thing.
I just remember my first theatre audience experience in NYC. It was a production of MacBeth and these two people are sitting next to me talking. Suddenly the guy elbows me and points and says, "That's our son." So parents are parents and I'm positive they will be proud of you. Good luck and Godspeed and may the Gods and Goddesses and Buddahs and whomever else you may believe in may they be angels or spirits from another realm who watch over you (in my case Mae West and Andy Kaufman and Jim Henson and Shari LEwis and Bette Davis, etc).

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