We also had two boxes for different types of waste products.  When it was windy the lids were always blown away, together with the contents.  In the. end I bought the Resin storage box where I now keep the two dreadful boxes and they can't be blown away.
My friends have also commented on how tidy we look outside the house.  I feel so much better & I love this storage box.  Can thoroughly recommend it to anyone for this use, as well as all the other things it can be used for.  The foxes can't now root in the rubbish boxes!!!!!