If it were me, I'd skip the US Office and just do Parks and Rec and 30 Rock. Pick one, get to at least the third season and keep watching. They both have up and down seasons and rocky starts. For me, Seasons 2 6 and most of 7 of 30 Rock weren't the greatest, but I'd still take watching them over something like Big Bang Theory or 2 Broke Girls.
I never saw the point of first timer's skipping early seasons. The only reason these shows became great is because of the set up work in the early seasons. So start at season three and you sit there wondering"who's that guy?" "what's their relationship?" etc. Start at the beginning and be mildly entertained and probably enjoy the show more once it hits its stride.
and if you like either, add Unbreakable Kimmy Schmidt.