What is the best way to CFrame move Bulky models?

I have this giant dish that I need to animate and move/aim about half way through that blue path then it should move/aim down to the floor (Like it has powered down)

I know CFrame can do this but I have no clue how to use CFrame.

Whole Model

This Model has 2 parts. The Left and Right Base Model that should turn the whole antenna Left and Right. And the Up and Down Model (which is the Dish) that should move the whole antenna Up and Down while maintaining an anchor point connected to the Left and Right base model to rotate from (I hope you're following)

Left and Right Base Model

Up and Down Model

So what's the best way to CFrame these bulky Models?