Im bi and have very conservative parents?

so im bi... imma girl 17.. and ive been talking to this girl and i dont knw, we both really lke each other and so who knows if itll turn into anything more and go out. when i go over, my parents think shes someone i met thru a college i wanna go to. if we do g oout its so not fair to her to have to lie about who she is and but my parents are soo conservative. i grew up in an irish catholic home , my dads a cop. so yea. like they wouldnt expect it and woudl be like id even know. and idk idk anyone have any stories like this or anything idk what to do