The main problem with the word "move" is that sometimes, not only is it lazy, it's a thief, stealing sensory perception from the reading audience. I'll give an example:
Steve stood, awestruck by the way Andy moved on the dance floor.
There's nothing wrong with that sentence, is there? Look again. Steve is getting a visual that really impresses him, but as a writer, I'm saying, "Look at that!" then slapping a hand over your eyes.
Steve stood stock still, mesmerized by Andy's gyrations, how he kept in perfect tempo no matter how intricately he wove around his partner.
While that may be a bit of an over-the-top example, I hope it provides the general idea. As a reader, I want to see to see, hear, taste, feel, touch everything that Steve, the protagonist, does.
Another example I see a lot of, and yes, do myself, is:
Steve watched the way Andy moved through the room.
This leaves me to wonder how Andy did move across the room. Did he saunter or swagger, painting the image of confidence, or did he meander, working the room and stopping to speak here and there, leading me to believe he's social? Did Andy creep through the room to avoid notice?
Sometimes, as with other words I've featured on What's in a Word "move" is the only term that fits. But, as my beta pointed out, it usually involves a group of good ole boys in pickup trucks, as moving normally happens in my neck of the woods.