We are fortunate in that our recycling is for "paper and cardboard" together so we don't have to worry about it - but if in doubt, take them to your local supermarket, ours has a large tub already for people to drop their cards in.
josephine - I am being incredibly dense but why would you want to starve a fire of oxygen? Why only when it is windy? I know that once I have been told the answer I will feel stupid - but I had to ask. :-)
I didn't get enough cards to worry about - use them as shopping lists etc.
Took it to all the place of interest ,look what I got ,some said well done weecalf you got a card bully for you .Might keep it for next Christmas just in case it came to the wrong address and it was not for me at all and I don't get one .Isnt life grand .
A friend has first pick as she makes her cards, she will cut bits out and revamp. I get the white bits back and use them for shopping and reminder lists, use a lot of reminder lists nowadays!
What a mixture of answers - good to see the interest. I think I'll secure mine with elastic bands and put them in the 'paper recycling box'. If the recycling men don't agree they can put them in with the cardboard.