Dawn dishwashing liquid will do both.

GreenDesigns, do you recommend diluting Dawn? Is it also safe for painted cabinets?

Oh yeah, dilute it. It doesn't take but a drop or two. I hesitate to say that it will be safe on all painted surfaces, because that has more to do with the paint quality and how it was applied than it does the cleaning products used. If you have factory finished painted cabinets, then it will be fine. A microfiber cloth is the other magic ingredient.

If you are having issues with grease in your kitchen anywhere other than around your immediate cooktop, the first thing to do is to address your venting. It's not adequate.

The particular brand of quartz you purchased will have a care guide on their website. Mine just says a ph neutral cleaner. The Tile Shop sells one that works for both granite and quartz.

Quartz is a low-maintenance countertop surface. As an everyday cleaning routine, you can clean your quartz using a regular detergent and water, and a soft cotton cloth. Once a week, clean your quartz using a non-abrasive regular household cleaner such as Comet Soft Cleanser Cream and Soft Scrub Liquid Gel with Bleach. Apply these directly on a damp sponge or cloth and wipe the countertop. When you finish, make sure to rinse thoroughly.