Replacing headers - what cutters do you use?

When replacing headers on boards, what cutters do you use for removal of the old header plastic? My small side cutters aren't quite right for this job. Even if I snip the header pins, the side cutters can't quite get in everywhere to make the cuts on the header plastic for removal.

What do you use, and any references to source would be appreciated.

In case you are wondering, I first cut the old header plastic away, then desolder and remove each header pin, then remove the remaining solder. Although with the Hakko I can do those last 2 steps in one (remove pin and solder) since the solder is well melted by the desoldering tool allowing clean removal of the pin without damage right before sucking the solder.

I have the Hakko 808 (love it!). I'll give your suggestion a try for my next header replacement. I wasn't sure if there would still be a bond of some type between the pins and the board even after sucking the solder. I guess I can try and find out, and if there is still a bond then add some solder to each pin and pull out the pins one pin at a time.

Yes, that's the orientation I like to use the Hakko in (like a gun with the gun barrel pointed horizontal). Works great with a board set up vertical in the Pana-Vise - use the Hakko on one side of the board and your favorite tool (needle nose plyers) simultaneously on the other side when removing individual components.