So I got my fan into today. It's 5inx5in of beauty. This this will suck the air right out of that controller box. I really need to make sure I have enough vent holes

(Side Question: I do want to suck the air out, not push in, right? lol)
Anyways, Main question (s). The fan did not some with lead wires. It just has two terminals.
1) What gauge wire do I need to use? I will be using 10g throughout the build, as needed for 240v. So do I need to run 10g to the fan as well? it's .07 amps, if that matters.
2) Can I just solder the wire straight to the terminal, or get a connection for it? And on the other side, I'm just going to (splice) the wires to the hot leads?
Just want to make sure I'm doing it safely. And the best way.
Thanks.
Edit:
This is my setup
I could probably use an eye loop to connect to ssr post where the 'red' hot lead is connected. But the 'black' lead that goes straight to the element would have to be spliced, right?