I have a Weller gun and a 30W iron I bought just for this task.
Me? I like to fire up the 30W (yes a big one) iron and go to town. I clean up the tits and barrels with a dremel, then often use liquid flux and finally, I tin the tits and make the solder bridge on the barrel using the big iron. I usually pull off the wire by simply de-soldering using a gun or the iron. Once the tinning is complete, it may actually be easier to use the gun for the final connection to the tit.