How to ask how much shipping is I'd like to ask "how much will shipping be to the uk?" in a polite way

Uk is 英国, shipping is 运费, and to ask how much something is is 多少钱, but I'm not sure how to put them together.
请问到英国的运费需要多少钱？

"to the UK" should be put in front of "shipping", and the sentence can be translated back to 

how much is required for the shipping to the UK?

“请问” is for politeness, and “需要” make it formal.