I keep bees and would have loved to have collected your swarm but as it's a few thousand miles away... never mind. Beekeepers usually leave a white sheet down with either a skep or a box propped up on it after they have shaken the main swarm down into it. They come back in the early evening as this is when the bees are less active. This means that the bees left on the branch will follow the queen into the skep and watching this happen is amazing. They just calmly walk up after her. The ones that are left will just fly away unless the beekeeper didn't get the queen. If they are still there tomorrow phone him back as there may be another young queen amongst them and this may be the reason they swarmed.
as for being stung, a bee will only sting as a last resort. If you get dtung by a bee flick the sting out, don't squeeze as that will make the sting go deeper. wasps and hornets can sting multiple times but bees will die as soon as they have stung as they pull off their abdomen in doing so. Don't get frantic and flap about near bees as that will only attract them to you. Move away slowly and stand near a bush or under a tree and the bees will fly away. not so wasps! Bees also get disturbed by manufactured smells like perfume, aftershave, shampoo etc. so you are more likely to attract bees if you have those on and are near a hive.