Quartzite is quarried natural stone, typically harder than granite and more heat-tolerant than engineered quartz. It is porous, so it needs sealing, but it does not etch the way marble does. One caution to carry to the slab yard: some slabs sold as quartzite are actually dolomitic marble, which is considerably softer and behaves like marble, etching and all. Ask what the stone actually is, not just what it is called.
Solid surface is acrylic or polyester resin. It is non-porous, its seams can be made nearly invisible, and it is the most forgiving material on this list in one specific way: damage is repairable. A scratch or a scorch can usually be sanded out and the surface restored, which is not true of anything else here. The trade-off is that it scratches more readily than stone and it is not heat-tolerant. The fair way to put it is that it marks easily and forgives easily. Worth considering for a long seamless run, an integrated sink, or a household that would rather repair than replace.
We do not work in butcher block, concrete, laminate, or porcelain slab. That is not a verdict on those materials. Porcelain in particular is exceptionally durable and heat-tolerant, and if it is what you want, you should have it. It is simply not part of what we do, and you deserve to know that before you spend twenty minutes reading our take.