Welcome to the bbs Jordan.
Hopefully another bbs member will have some ideas on clubs around the Stoke area. Quarnford is the only one I know of, but its been years since I've been there.
As your only 16 you can't actually own an airgun, but you can use one which has been lent to you, unsupervised. It's worth finding a club, members should be happy to help you with getting started and the basics of being safe.
Here's a link to the BASC's website, other than the above it is important to understand the restrictions that apply to 14-17 year olds regarding having your gun in a public place, which would include transporting it to any club.
ATB, and happy shooting.