I can't seem to find any way to get a flu shot for my 2 year old without going to a pediatrician (we don't have a pediatrician in the area yet, since we recently moved). Pediatricians won't give the shot unless you are a patient, CVS won't do it, urgent care doesn't do vaccines.
This seems less than advisable for a public health measure. I'd think that for something like preventing a kid from being a vector for a deadly disease, you'd want as little bureaucracy as possible. 😕