Got this on a Google search
Normally there is no reason to remove an old dead nest. However, if you wish to do so then it should be done carefully and only when you are sure there are no more wasps flying in or out. We would recommend wearing gloves to remove the nest and to have a quick exit route, just in case. A recently dead wasp can still sting you if it is squashed
There is no reason why it can't then go in the bin. That site says that they rebuild a nest next year and wont reuse the one you have if you leave it there, but may build a new one next to it
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