All up in the kitchen in my heels — dinnertime. This Sunday, New Haven will kick off its annual spring restaurant week. Nearly 30 of the Elm City’s finest restaurants will offer multi-course prix fixe lunch for $20.16 and dinner for $34. Participating restaurants — which include Florian, Zinc, 116 Crown and Union League Cafe — encourage patrons to make reservations as soon as possible for the coming week.