1st thing I always do in my routine, after I find the 1st cap to replace is make a hard mental note of where the caps negative side is in relation to the board, capmap, board designators, and other caps.
Then I get my board situated safley, bottoms up, ensuring the solder points. Then I hit them with my rubbing alcohol dampened toothbrush, and clean the area.
Then I get my slow gun out and after 7 seconds (usually), draw the solder into my solder remover.

If this happens pick off solder with your fingers, and continue with heat, suction.
Get as much solder off as possible, ensuring you have room for new cap placement. Also ensure ALL solder gets removed, and doesnt land and wedge on other components.
Hit with the brush again
Ensure you install new cap in correct polarity, bend leeds so the cap is as close (and straight) to the board as possible.

Place gun simulatainiousley on the leed and the solder pad, waiting 8-10 seconds dropping the solder in at the leed, letting it draw and pool into the pad