Babysitter - Full-time / Part-time

My child will be roughly 2 months old. We are looking into care because I may be teaching a course next semester, 8 a.m. - 9:15 am, Tues/Thurs. We would need care during that time, on top of any time where I am obligated to be on campus for classes/office hours (My wife works full time M-F 7-4). I would not expect the hours to be often, as in every single day from 9-5. I would expect on days where a sitter is needed, it would be for a max of 4 hours, a minimum of 2.