Help with some mobo questions please!!?

Paradoxale

Honorable
Jan 19, 2014
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Hi!
I've currently got an ATX mobo, the MSI Gaming Z87-G45.
But I want my pc to be smaller, it's currently a midtower case and seeing as my room is small
I'd like to conserve some space.
I'm thinking about rebuilding my pc in a Bitfenix Prodigy.
My questions are:
1) Can I easily switch components like CPU and CPU cooler from my current mobo to the new one?
2) Will there be a huge performance difference when switching from ATX to Mini ITX? Like will games run less smooth or will my pc perform slower overall?
3) Can a Bitfenix Prodigy hold a mini ITX mobo and/or a micro ITX mobo?
Which one of the two is better?
4) Good gaming mobo suggestion?

Thank you so much for replying on this, I really am in quite a pickle.