I was just lamenting that I do not have excuse to sharpen as much as I would like. Maybe I need to thin the herd
I do not have any experience with the Besters.
I do have the Arashiyama 6k and it is a very nice stone, waiting for the 1k and 6k from them might be worth the wait.
I also just recently got the 1k/4k Shapton Glass and they are really nice stones, those too are out of stock but well worth the wait.
I also like the Nubatama Ume Speckled 1k and 2k. The 1k Nubatama Speckled feels much coarser than other ~1k stones I have used, so I might get the 2k from Nubatama and then a 4k, though I would talk to Ken Schwartz for what he recommends in that range, the Nubatama is too varied and numerous for me to speculate on what might be best for that grit range.
As far as what grits, I do not think you need anything coarser than 1k unless you need to repair substantial chips. I have only needed a coarser stone twice, once was to remove a chip ~3mm deep and once to reset a bevel on a knife I had taken a belt sander to. So a 1k, 4k (or 6k) combo is a common starter setup.