Also recommend a soldering iron. Additionally, using one with adjustable temperature is a plus (dial it DOWN to the lowest temp, to start). And a pencil-type tip on the iron will also help to localize the application of heat to the recess in the screw head only, minimizing the chance of overheating the part or any surrounding materials of plastic. A too-big tip or too-high heat will drastically increase heat transfer rate, which is harder to control for the sake of minimizing damage.
Having worked in electronics for 18+ years, I'm absolutely positive, it's all about applying only enough heat, and applying it only where you want it, to prevent doing damage. Anything overkill is ALWAYS bad.