I immigrated into the US (from Canada) to work for a tech company, and a piece of advice I got from our legal dept was: Whenever you cross the border and the guard asks you what your job is, answer "Software Engineer". IIRC it was important I answer this correctly because that's the role that I was permitted to work for (under a TN, later a H1B; I'm now naturalized). Saying "programmer" or "developer" may have been fine (I don't know), but I do recall some emphasis on getting this right.