Nice choice on the minigrip. Both it and the Endura are two of my favorite users. Not expensive, solid and reliable. And the Axis is a smooth lock. I have one of those waved Enduras, but haven't used it much at all.
I like the Sharpmaker, it's easy to use, also not expensive and flexible enough for me, you can do scissors and serrations, too. Comes with a video to help you along. The Lansky seems very popular, but for me, it takes too much work. But what do I know? Can only tell ya what works for me.
cheers,
daloosh