Hey, its an easy job. I wrote a guide here
HOW TO: Brake service - Glide pins and cleaning last year. I do them twice a year(~20k km), but the salt/winter conditions work the pins hard, and its a quick job when the wheels are off for switching between winter and summers. Takes me about 20min/wheel, if your just lubing its probably a 5min job once youve done ot a few times.
Any silicone paste will do, you want it silicone based so it doesnt dry the rubber seals out. You want one with the consistency of a paste, ie not runny(works but hard to ger it to stay in the caliper), smear the pin and leave a lump at the tip. Push the pin in and give it a few turns and pumps to distribute the paste and rub any excess that is pushed out into the rubber grommit/glove.
Pin should glide smoothly back and forth, if not it might be damaged/scraped.