I can't speak for hot air rework, I don't have one. But I highly recommend a TS-100 for the soldering iron, and I have a DPS5020 on the way, they make a range of power supplies that run off power bricks, basically. The higher the input voltage, the higher the output voltage you can have.
Here is that Ruideng store.
Get whichever power supply you think you'll need, and grab the case for it too. It comes with everything you need to put it together, and it'll be a fun little hour or two project putting it all together to boot.
You can find the TS100 on AliExpress too, or eBay. Get the BS2 or other chisel tip with it. And also throw
Ralim's firmware on it, it opens up a whole new experience.
Magnifying lamp, you can get anywhere.
Again, I can't speak for hot air, I don't have one - but I would appreciate advice on a budget hot air rework station, myself. The Atten hot air station seems to be fairly popular, but I'd like to hear what Dave has to say on this.
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I'm guessing you were referring to the Atten-style ones? Would you still recommend one despite this?
The way I think of it, I don't like unsafe electronics - at all. I will not touch a cheap power supply, power brick, etc,
ever, I don't care how much the genuine article costs. But for something like a hot air rework station or a soldering iron, is safety really going to matter all that much? Neither of these things are pieces of equipment that should
ever be left alone for absolutely any amount of time whatsoever, anyway. So if something goes bang, you'll know about it. Not like when I had a power brick short circuit and runaway, almost burning my house down. (If I didn't forget my wallet that night, it would have.)
TL;DR - don't buy these combo stations. Muilti-purpose
anything is generally a case of "it's ok at those things, but not great at anything". Pretty much 100% of the time, you are far better off with individual components, no matter what it is - soldering/rework stations, power supplies, power tools, whatever. Buy the proper thing and it'll do the job better, I guarantee it.