I had kind of the same scenario, had worked at a pizza place for 2 years and got a job offer with better pay/hours in a lab at the university hospital.
Definitely give them 2 weeks notice, if you don't, don't ever try to use them on a resume/work history ever. I pretty much told them that I had a better opportunity and that it was great working there, but I had to go with my better option. Then wrote my two weeks. I still go in a visit sometimes and go into the kitchen to catch up with my old boss. Just be sincere and honest about it.