@pwrhngry432 I'm not seeing any Bug Reports, so we'll see if others see the issue here and comment.
I did just test in my game. When the welcome wagon arrived (wait until they reach the door and the welcome wagon timer starts in the top left corner of the screen like in this screenshot) I clicked on one of the first sims to arrive and there was an option "Invite Neighbor(s) In" with a door next to it. I chose that and my sim hadn't even greeted him yet and he went right in the house. The others gradually went in the house, some after being greeted and some did not wait to be greeted. The second time I tested on this lot they waited for the sim to come out and invite them, then they went in - one at a time. Please try that way and see if it helps. Also, make sure that you have the doors unlocked.
I do sometimes find sim stuck in chatting away or doing something else and ignoring a queue I give. If that were to happen I would try re-queueing the 'invite in' and exiting any chat or current thing they're doing in their queue.
