Pretty much as soon as I start my car some squeaking happens. Louder as I rev or go fast. And completely stops when I even slightly push the clutch in. I'm not that smart with cars. So, what's going on?

 

Could be the throwout bearing and that's where I would start.

The bearing in this picture is very bad . . .


You could get under the car and remove the trans dust/access cover and inspect the bearing. And Spray some white lithium grease on it (make sure you have at least one of those little red straws (like with old WD40 cans)) and spray in a manner away from the engine. Then start the car and pump clutch pedal and see if noise goes away.

 

Definitely a throw out bearing.