Those large bees are carpenter bees. They are very curious and like to hover around you watching what you are doing. They rarely sting (it costs them their lives). Wasps are a different story. I tolerate them only because they are good pollinators and predators but I kill the nests when I see them. I've had a couple of large local reactions to wasp stings and they are not pleasant. Fortunately none this year and I was only stung twice so far.
The last time I was stung it was out of the blue - I was lolling in a gravity chair on the deck with my eyes closed, not moving. So much for the don't bother them, they won't bother you theory. Totally pissed me off and I killed that sucker deader than a hammer.