Rural Gardening: I need help identifying these, 1 by Windy

Windy wrote:
Last Sunday I was out in my backyard using my Reciprocating saw to prune back an overgrown Wisteria. I didn't notice these until I turned off the saw and the humming continued. There right in front of me was this mass of swarming "bees". I immediately went to the house with my saw and no one stung me. They just sort of swarmed in a mass but never attacked. I was making quite a disturbance as the wisteria is on a chain link fence. I was leaning a branch up to the top pole to steady the branch, so it was shaking the vine rather vigorously.
I wasn't sure what they were as I didn't stick around to find out. last year my neighbor was stung repeatedly by hornets when he used his lawn mower and ran over their nest. So I was not going to stick around.
Now this morning, nearly a week later, I decided to take some pictures outdoors and then remembered this nest and decided to use the zoom and take a picture into the vine. I didn't have my glasses on, but luckily they were in my picture.
Ok, can someone identify them. I need to get a company out to remove them and tell them what they are. Hopefully, if they are honey bees, they will not kill them.
I have dogs that go in that area of the yard and do not want them stung by mad "bees"
They do not seem to be aggressive at all since I left some uncollected debris there when I ran for cover. This morning I see that one of the dogs went over there and pulled the branches into the yard. He was luckily not stung.
So can someone tell me what the best thing is to do.I really need to be able to use my yard safely and mow the lawn over there.
I used to run the riding mower right over there and even fling the vines out of my way as I sped along cutting grass. These seem to be some really tolerant bees.
I don't want to unnecessarily harm them, but I do need some advice on what action to take.