Is there a preferred direction to knock the pins out?
Do you knock them from left to right?
Or do you knock them from right to left?
Check to see which direction the pins go. The rear pin comes out first, tapping on the tapered end. I usually have them going in in opposite directions on installation. The front one goes in first and can go in either direction, but I have them going in opposite. All of mine are left hand so when it comes time to put the rear pin in you sort of have to assemble the spring and bolt stop first and start the pin and it's easier to start with the tapered end so that goes from right to left for me. Whichever you use, removal is in the opposite direction. Works the same whether or not you're mounting a Remington or any other trigger. If you're doing a RH trigger you would go left to right for the rear pin.
I expect the purist would have them go in the same direction.
I have a nailset that I use to start them moving, but not a proper size punch with sufficient length to get the pin out. A brad going in head first and tapped with a small hammer does a good job.
At Walmart in the arts and crafts you can buy a 36" x 1/8" dowel for 35 cents. You can cut short lengths with a knife and tap on the back of the knife with a hammer. A bit of work with some fine sandpaper and you can make some serviceable slave pins. I like to make sure that there are no sharp edges on the pins. Once you have everything ready to go you should be able to change one out in about 10 minutes.
Lots of YouTube videos about it, but I prefer to clamp the action snugly in a padded vise. Also I prefer to wear those blue or purple nitrile gloves as they fit tight and are non-slip. Also re-useable if you take them off carefully. You can buy them at Sam's for not too much money. Also work great when you're handling solvents and cleaning guns.
A pic of a trigger with self made pins. Of course with an aftermarket trigger you don't need slave pins. Also I'd posit that most folks removing a Remington trigger aren't replacing it with the same or different Remington trigger.