Order of filtration, Carbon, Calcite, Softener?

You want to filter sediment before it gets to the softener. Carbon filters are for drinking water so put that near the kitchen sink and icemaker tap. No need to filter for taste the wash water and toilet use.

Thought Carbon was also for odor?

Still not 100% about the Calcite filter. Does it just neutralize the pH or does it also filter sediment?

Thanks, Scott

Carbon does both.

I'm not familiar with Calcite filters, but I did find this

Calcite is a naturally occurring calcium carbonate media. One of the advantages of Calcite is its self-limiting property. When properly applied, it corrects pH only enough to reach a non-corrosive equilibrium. It does not overcorrect under normal conditions. Upon contact with calcite, acidic waters slowly dissolve the calcium carbonate to raise the pH which reduces potential leaching of copper, lead and other metals found in typical plumbing systems. Periodic backwashing will prevent packing, reclassify the bed and maintain high service rates. Depending on pH, water chemistry and service flow, the Calcite bed will have to be periodically replenished as the calcite is depleted.

As the Calcites calcium carbonate neutralizes the water, it will increase hardness and a softener may become necessary after the neutralizing filter.