Introducing solo dog to blend families?

I have a 4 year old female spayed shepherd/lab mix. My partners have 3 dogs: a 5 year old intact male shiba, a 3 year old female spayed Aussie, and a 7 month old female shiba (will be spayed in the future). My dog is not always great interacting with other dogs, she’s been around cats her whole life and just recently, my grandmas small pug mix. We plan on moving in with my partners over the summer, but it’s a three hour drive and I’m unsure the best way to start introducing them to each other to make the move the easiest on everyone.

She doesn’t have the best leash manners since she’s always just been out roaming in a fenced back yard. She pulls a lot. We will be working on leash manners and recall more in the very near future in preparation, but any advice on how to go about the dogs meeting each other and making sure they can get along??