I currently have (too many) compost heaps in part of my Kleingarten, and one appears to be hosting an active bees' nest. I tried to take pictures but failed. To my naive eyes they look like honeybees - standard yellow/black stripes, "normal" bee-shaped body - but I assume they're not. Definitely not wasps/hornets/bumblebees. They aren't aggressive, though they're not thrilled with me getting too close.
I'd be happy to leave them to their pollinating, but I want to tear down these compost heaps and lay out raised beds for next spring.
Will they move on their own? When might I expect that? If not, when is the least-worst time and way to tear down the compost heap? Can I offer them someplace else?
if they are honey bees, you might think about getting a bee suit and building a hive box to move them into, just bee sure they are not yellow jackets, do some googling, keeping bees is a rewarding hobby in its own rite. depending on where you are your local extension agent may be of assistance. i recently read how the state of virginia will give bees and assistance to anyone in the state that wants to keep bees, produce honey ect.
without seeing a photo, I would guess a Vespa of some sort. most Vespa colonies are annual in temperate climates like yours and die out over the winter, so that could be a good time to tear down the pile.