Looking at places that don't require customer service (e.g. warehouse, factory etc.) might be good BUT getting somewhere where you do have to talk could help you a lot. When I got my first job at a small local takeaway I was terrified of serving customers and stuttering. However through a gradual, sometimes painful process I became comfortable with it, and it decreased my stutter a lot. When the shop is busy af and you're working on getting 3 orders out at the same time the stutter is the last thing on your mind. Also, look more locally at smaller shops/businesses.