use a good soldiering iron, weller makes some of the best ones

this one is almost professional
i have one almost identical to this

always keep the tip of the soldiering iron covered in tin
don't use lead free tin, buy less than a pound of it, preferably a very thin one, thicker one usually doesn't melt well

don't be afraid of use lots of flux but try to put it over the points to soldier only, even the cheapest one is good, those sold in small doses works well

it doesn't have to be that liquid one that is so expensive that no one outside a lab will buy it
if you don't have enough experience be patient and have a tin remover like the one on the left of this image

when working with a multi layer printed circuit board remember to not to apply heat for longer periods, 3 or 4 minutes will probably destroy the tracks or even detach a entire layer of the pcb
if what you want to fix is a superficial soldiered component like a resistor or something similar, a soldiering iron is not the best solution, possibly a heat gun is better
weller and makita are good options, put the wind speed to lowest and heat the entire component, you can use aluminum to cover the sections that doesn't require heat to resoldier components


the problem is that if you can't control wind speed, you will detach pieces from the pcb because the pcb can melt all the tin on the near area
it is so fun to put the accidentally removed pieces back in place

have in mind that you can end up breaking everything so try to destroy something else first, i like to destroy old ps2 mouses, i recover the buttons that are not damaged and soldier them in new mouses that end with broken buttons to recover them, just did that with a mouse when my microsoft mouse end broken and i didn't had a usable replacement
every pcb has its own conditions, some are harder to work with than others, you read my post about fixing my old mainboard, i had two different situations removing a capacitor form two mainboards