This is where your stainless steel needle pick comes in really handy!!! A dentist's pick is IDEAL for this!! To remove the capacitors, follow these steps:
1) Preheat your soldering iron to roughly 450 degrees Celsius, and connect the grounding strap to the metal shroud around the keyboard or USB ports.
2) Choose your first target capacitor, and heat the POSITIVE lead up until the solder melts. With the iron still on the POSITIVE lead, push the capacitor toward the NEGATIVE lead until the POSITIVE lead is free of the board, and remove the iron from the board.
3) Now do the same to the NEGATIVE lead, and the capacitor will be free from the board, simply pitch it in the trash (I tend to toss 'em on the floor in my shop).
4) Now to clean the holes out....... Reheat the hole on the back side of the board, if necessary, melt a little fresh solder into the hole to smooth it. Then using your 'solder sucker' on the front side of the hole, suck the solder from the hole. When you are done doing that, the hole should be nice, round, and able to see light through it if held up.
5) If you weren't that lucky and the hole remains closed, here's what you need to do. DO NOT TRY THE 'SOLDER SUCKER' MORE THAN TWICE!!! If you do, you can damage your board!! You need to reheat the hole until the solder is melted, then insert the needle pick into the hole as far as it will fit without forcing it, going all the way through, immerging from the other side... Remove the iron and let the solder harden. Since the pick is stainless steel, the solder will not adhere to it. GENTLY spin and wiggle the pick around until it breaks loose, then remove it from the hole. Use your Exact-o knife and gently scrape the dry solder from the hole. And WALLA!! You will have a clean open hole, ready to place a NEW capacitor in!!