What design? I'm making a chain mail chessboard right now, but if you want one out of steel, or wood, or a quilt, the skillsets will be quite different.
Commissioning a chess set

I don't know of anyone who has actually done this, but Chessbazaar is one of the largest of the Indian chess sellers. Good luck and let us know how it turns out.
http://www.chessbazaar.com/custom-design/
I would really like a wooden board.
Thank-you for the link to chessbazaar I will check it out, though I would prefer a UK or US maker.

I would check local fine woodworkers. If you're doing some version of Staunton, anyone worth their salt should be able to do a nice job on your design. Just for fun, here's an intersting guy making intersting sets in Slovakia: http://bestchessmenever.com
He's not what you'd call modest about his set

The people who make the Drubovnik have an design your chess set option,
https://www.noj.si/?mod=catalog&action=productDetails&ID=118
Would recommend Amritsar Ivory works as well, but he takes orders with minimum ten chess sets.
Since you are in UK, look up this site, http://mouldsandmore.webeden.co.uk
They have a sex chess sets but seem to be taking custom orders as well.

I would check local fine woodworkers. If you're doing some version of Staunton, anyone worth their salt should be able to do a nice job on your design. Just for fun, here's an intersting guy making intersting sets in Slovakia: http://bestchessmenever.com
He's not what you'd call modest about his set
Slovenia, not slovakia. -.-
I Would Like a Chess set made to my own design. Does anyone know of someone who might be able to make a chess set for me?
Thanks