First aid for a bent pin is critical. One way is to use a mechanical pencil with the lead removed. This gives you a small hole that can accomodate a pin. Slip it over the bent pint and very gently straighten it.
Also good - and a thin brass pipette can also work. BTW, OP's question was specifically about pins on the CPU. Whatever tool is used, you are right about doing it slowly.
That may work for a cpu with pins but on these LGA sockets it's not my go to tool, I picked up a jewelers headset cheap on Ebay and use a slim blade exacto knife or a probe with a long thin needle set in a handle.
You have to carefully manipulate the pin back in place slowly, go to fast and you risk breaking it, I've repaired 10-12 mb's at least