Circuit Specialists has a six dollar 40 watt iron with a built in vacuum plunger. Looks really interesting. Some ebay sellers have them. https://www.circuitspecialists.com/soldering-irons

Had used old Radio Shack desoldering irons for thousands of desoldering operations (with the red rubber squeeze bulb). Thumb would get tired & no temperature control & tips wore out, but fairly cheap. Think you can still buy them. Yup, ECG brand $21 ebay.com link: itm
Or a no-name unit $20 ebay.com link: itm Use new tips for the fine work and save old tips for other jobs.

Me damage brain? Remember to wash your hands well after working with lead solder. Also drugstore 90% isopropyl is a cheap flux remover.

Been very happy with a rebranded AOYUE 8800 Desoldering gun sold by Circuit Specialists under their own brand. Looks like the older Hakko, but it may not be available anymore. Came in a hard side case with three tips, sponges, and cleaning tools for something under a hundred bucks on ebay.

VEVOR S-993A Electric Desoldering Gun 100W temperature controlled. US $99.11. Ships from USA. https://www.aliexpress.com/item/1005003020680007.html

This might be the new budget option. Would want more sizes of tips right away, and wonder how good or bad the suction is compared to Hakko or the AOYUE 8800. Also available on ebay $113 ebay.com link: itm

Recall from a previous thread somebody took the ECG rubber bulb desoldering iron and replaced the bulb with a hose to a foot switch operated vacuum pump.