Here's a nice start-to-finish of (one method) replacing SM caps
https://www.youtube.com/watch?v=mjCa0DAEpzQ
That video do indeed show the proper way of doing recap work. However, it is also done using quite specialist tools.
Like the hot tweezers, which your garden variety enthusiast and hobbyist have no good reason to throw money at. You can though achieve much the same effect using two soldering irons. Just make sure both can reach good temperature (at least ~350'C / 670'F) *AND* retain heat well.
I use a Hakko soldering station with a beefy chisel tip (3mm i think) and a cheap as dirt 30W 'all in one' soldering iron with a similar chisel tip. Just pre-tin the cap with a blob of solder on each side for better heat transfer, get the irons in there and see the solder melt and simply tip away the cap. Easy as icecream and 100% safe for your Amigas precious pads. Every time an Amiga pad is torn, a kitten cries! Clean the pads with a touch of flux, solder-wick to suck up the remains and then rinse the area with isoprop and a lint-free swab or tissue.
As for attaching new caps, again the video is very proper and professional. And again it is using something an enthusiast won't have just lying around usually - solder paste. solder paste is fickle stuff that cost quite a bit _and_ got an expiration date of about a year after manufacture, assuming you store it in the fridge. Solder paste is great for SMD reflow work, but to justify buying the stuff, one better do quite an amount of SMD reflow work.
Another method is to just use a bit of flux and good old solder wire. Add a drop of flux to one pad, then place the cap the way you'd like it to go. Keep in mind that electrolytics are polarized, so it do matter which way round they are attached.
Anyhow, with the cap in place and the drop of flux on the one pad, melt a little solder on the tip of your iron to create a tiny blob of solder on it. Now use this blob to 'tack' on the cap on the side where you applied the flux whilst you hold down the cap with some tweezers or similar so that it do not move about. Once done, clean the tip, and solder on the other side properly. Then move to solder on the first side properly. And done.
Next cap please!
