Hey there heimerman,
Those pins can be pretty tricky at times, I've only ever managed to get one out once!!
Theres a couple of methods but the two most popular that I keep reading about are..
One end of the pin will have a diamond pattern on it.. which creates grip. Get a pin or nail (with a flat end instead of a point) the size of the pin your trying to remove.. place it on the end of the pin your removing that
does not have the diamond pattern on it. Very carefully but with a little force, start tapping the pin with a hammer. Just be careful you dont miss and put your nail or pin through the plastic!
Eventually the pin will start to budge and itll come out enough to grip with a pair of needlenose pliers. Use a twisting motion to remove the pin fully.
Use the same method to replace the pin back into the figure, again taking care not to damage the figure or the plastic.
Theres only one drawback with this method and its that sometimes its not obvious which end of the pin to start hammering.. try one end and if your having no joy, try the opposite side/end.. find which end has more give in it and you'll soon have it out

The other method I've read about is using a soldering iron to heat the pin up, making the plastic around it supple and soft. Though this is a more popular choice for removing pins that hold wheels in (the ones with the flat heads)
I have my Classics Starscream infront of me and can see the the pins you want to remove. The first option is probably your best..
Have you given thought to painting it without removing the pins? I'm only thinking it
could save you alot of work!!
Let us know how you get on heimerman!!