Not mentioned here yet but the majority of early soldering attempt failures mostly come from crap irons and crap solder not human issues. You need a decent quality temperature controlled iron and decent quality solder, preferably flux cored if you're doing repairs. Here, I have a second hand Metcal iron which cost less than the much recommended Hakko irons and is orders of magnitude better. Solder, I just use thin 60/40 multicore. Avoid the lead free initially until you have some practice.
Watch soldering videos on youtube. Check the comments to make sure people aren't slating their technique.
Removing some parts, like DIP packages really does need specialist irons with vacuum pumps built in to not mangle them. Desolder braid and solder suckers are absolutely no good for that sort of stuff and tend to lift pads.