Guys, try these tips:
Use SMALL vise grips to squeeze the pins. They will hold, and free both hands to tap out the pin.
Use a screw driver to initially gain space to remove the caliper. Place it between the gap in the caliper, and the rotor,pad. (5 second task)
Open the bleed screw before compressing the pistons. The fluid in and near the caliper is the worst fluid. You want it out, and any debris that is pushed back up into the lines can damage the ABS system. One occurence of that would negate the cleanliness of pushing the fluid back in with the bleed screw closed.
The caliper will stand up straight on top of the spindle, carefully.
The slide pins have a shape which exactly matches the slots. There is a narrow edge, and a wide edge. If they are matched correctly as you install them, they will start easily, at an angle, by hand. Once started they will tap in easily with a hammer.
I prefer anti seize compound, used very carefully. It is extremely messy, but it does not dry up, and lasts almost forever. Don't get it anywhere except where you want it, because it smears, spreads, etc. I place a dab of it on the pin itself, in the center section, with one finger. Wipe off the finger immediately, and install the pin.
Check the caliper's pistons and seals carefully. If they don't look perfect, replace the calipers. Here they are about $15 each, which is a bargain. Rotors were reasonable also.
Replace as much brake fluid as possible. If you aren't very easy on brakes, use the best fluid you find. I like the Valvoline DOT 4 fluid, about $5 for a quart. As important as brakes are, I opt for the best fluid I can find.
Good luck,
Don W