Gamecube/PS3 Streaming

Hello all. I've been thinking of getting into streaming games on Twitch but I'm not quite sure what I need to purchase to make this happen.

What I have now:

Gamecube/PS3

Snowball Blue Mic

Acer Chromebook

Obviously trying to start off pretty basic (with basic audio/cam) but at some point in the next year, I would be adding Switch and PS5 into the mix. My tech knowledge is pretty minimal. I understand I need a capture card of some kind for what I currently have.

1. Is there one in particular that works well for GC as well as PS3? 2. Is there one that would work for these as well as the Switch so I wouldn't have to purchase two separate cards? 3. Will my chromebook be sufficient in what is needed to stream or is an upgrade required? 4. Are there any other tech purchases I am missing that would be needed to get things off the ground?

Any and all feedback is appreciated. Thanks!