Tell doctor you are moving and don't have a doctor yet. Ask for your normal script with repeats on it. Most docs will do 3 repeats without a second thought. Ask pharmacist for all of it, tell them you are travelling or moving and it shouldn't be a problem. When the repeats on the script run out, yes you need a new script. It isn't a lot of seeing doctors because by the time you are on it for a while you only see them once a year and they give you repeats.
It doesn't matter if it costs more up front, always keep at least one spare bottle. Trust me, they had 4 shortages since I started and one right before I started. It is better to have extra then to have none. Remember it isn't like you don't use it but it gives you a buffer. I have 2 vials in my cupboard and I don't even use it now. I won't get rid of it or my androgel until it expires because you just never know. I will die before I go off my T again.
->-bleeped-<-boy