What's the difference between your fans and one of this?

None! Indeed you can get two of these cheap. Under $10. Then a regular temperature controller from aliexpress and turn them on with a relay. For it to be quite it has to be 120 mm or above and 27 db or less, then screwed to cabinet through rubber grommet. If you have problem finding a relay, here is an idea. An equally cheap 7 day timer plug. Disassemble it, isolate turn on wire and common ground, two wires out that connect to your generic temperature controller.

Bathroom fans and 7 day timer your best source will be local hardware store or an online hardware store which has free shipping. Temperature controller aliexpress is best.
If I login to hardware store here, I can purchase each fan for $8 and a timer for $8. So total will be $25. Plus $3 for temp controller. Plus rubber for $2. Everything together is under $30.
Though, think about mice and rats. I had washing machine outside, little thing crawled inside and shorted it.