I had worked with a trainer because my rescue foster dog was having a hard time with this. We do clicker training, but as far as for biting, she had me say a firm no stop the play immediately and stand and turn my back to him... this was every single time whether it happened when we were playing, at night in bed if he grabbed my toe and started play biting.. whenever.. she had me get up and turn from him after saying a firm no....
By turning away and walking away from him, he quickly started to associate that biting equals the fun time ending and me walking away from him... it has helped tremendously.
Believe me that I know it sounds like more punishment for us than the dog to have to get up off of the couch or bed every single time it hapens, but for us at least, it did quickly pay off
As far as with new people...if it is more play based and he is running up to them out of excitement when they come in.. you could use the clicker training to teach him to sit when someone comes in the door. This has done wonders for us as Cooper used to literally go jump in anyone's arms as they came in the door, but it has since stopped.
Good luck!!