What is this filming technique called and how do I do it? I hope I'm in the right forum for this question!

Basically, I'm trying to create this effect, where the camera zooms in on Simba's face and the background seems to zoom in at a different pace.

I'd like to know, first, what this effect is called. I want to see if I can recreate it in the opposite way. So basically, I want to make it seem like I'm zooming out in the same way this effect is zooming in.

Second, I'd like to know where I can find out how to do this. I'm really a complete n00b at filming and I don't have any fancy filming material, just a basic camera that can record. I'd love some suggestions. :) Thanks a ton!
It's called a dolly zoom, and you achieve it by moving the camera towards your subject and zooming out at the same time (or moving away and zooming in).