Some run them down, but I have a big block of Cutco kitchen knives. They aren't the sharpest, but they hold an edge for a long time that is adequate for me.
The meat cleaver is scary nice/effective. You need to have the other hand behind you!!!
I use an "Accusharp" which was recommended by someone here a few years ago. It works really well.
AccuSharp Knife and Tool Sharpener 001 White with Full Length Finger Guard | eBay