OP, how many times have you use the cleaver?
I'm an avid cook, and thought the years I have pared down to 5 knives. 90% of the time I reach for my chef & santoku knives. I also have a Hattori cleaver that is very sharp that retain its edge for a long time, that I often use for cooking till I purchased a santoku. I have a slicer for bread, but it rarely get use. a curve paring knife is another knife that I often use beside the santoku/chef knives.
A chef knife & a paring knife are the 2 knife that I can't forgo if I must chose only 2 knife.
To me chef knife is very versatile, then santoku (awesome with most cutting/choping/dicing tasks, and my fave on vegetable), paring knife for peeling, chinese cleaver is awesome for quick preparation of large amount of food (very handy like a large santoku), slicer for bread/dressing meats, and the rest of the knives are almost useless in a residential kitchen.