Good tools save your time and PCB's (not to mention the anger and frustration...). I invested for a good HAKKO soldering station on the day one, but saved on the desoldering stuff. Went with a manual pen pump and wick for years. Had to pay the "study money" then on multiple ripped pads etc. Well of course it got me onto multimeter stuff and how to fix those then, but the time that simple 10 cap re-cap took, was counted on days at the worst.
Last year I bought HAKKO desoldering gun and it has saved me so much time and mistakes! Best purchase in years IMO. Of course all those new tools take some time to get used to and find the best ways to use them. When I come by to a large ground pane via, I just add the heat from 350c -> 400c and add some fresh solder.
I have done tens of different game consoles and re-capped all my arcade PCB:s. My PGM was pretty easy to do, but it was rev 13 and none of the caps had leaked. Leaked cap-acid insulates the tin and those are hard. Sega CD/Mega-CD model 1 is good example of those nasty early 90s SMD caps. You just need to clean them with lots of IPA before starting. It takes time and is not a job to do in a hurry. I consider it my "yoga" or a mean to calm when I start working with these. Rule of thumb is that let the heat do the job. When you need to apply force, you are doing it wrong.
I wish I had a room for a hot air re-work station. Right now I just have HAKKO tweezers. They work super good when there is a room on the PCB to use them (I usually add fresh solder to those too). But on those narrow places they are useless.
But in the end, it's a skill as any. Needs practise, patience and learning from the mistakes.