You said you "started with the lower grits". What do you have now in that regard?
I already owned a Boker 1K for kitchen knives. I've added a Shapton Glass 2K. Then it is a Naniwa 5K, or a JNat or Coticule, with a Black Shadow for finishing. I'm still debating about adding a Naniwa 8K, or just buying a better coti.