Repeat prescriptions don't work the same in the UK as they do in the US.
DW used to be able to just keep going to a chemist in the US that would look on the system to see how many she had remaining.
Here she has to go to the doctors and request a repeat and then take it to the chemist.
Yeah, I think you can just request each repeat prescription from your GP and then have it dispensed at whichever pharmacy you like. Or, if you are settled and you do wish to have it dispensed by the same pharmacy each time (i.e. after you've moved), you can sign up for a repeat prescription service with that pharmacy.
I'm trying to think what services we offer for repeats in our Boots pharmacy:
We have a Repeat Prescription Collection Service where we keep the repeat slip from the customer's prescription and file it, then when they want to order the repeat, they give us a call and tell us which items they want. Then we take the request down to the GP surgery and order the prescription for them. When it's ready, we pick the prescription up from the surgery, take it back to the pharmacy to make it up and the customer comes in to collect it. Alternatively, we order the new prescription automatically for the customer on a particular date so they don't have to call us to place the order.
The Boots website has an online repeat prescription service, but it's only available to collect from London pharmacies. You place your prescription order online, Boots contact your GP and request the prescription, they text or email you when it's ready and you can pick it up from 1 of 40 Boots stores in London or have it sent to an address or Post Office of your choice (delivery charge applies though).
You can read about the Boots prescription services here:
http://www.boots.com/en/Pharmacy-Health/Prescription-Services/