This movement was characterized by fine woodworking and craftsmanship. Are you willing to spend big bucks for custom-built kitchen cabinets? Probably not. But at the very least, you can look for kitchen cabinets that are hardwood or hardwood veneer, rather than thermofoil or soft woods.
Manufacturers like Crownpoint even have an Arts and Crafts series that allows you to buy into that distinctive geometric look without having to build it from scratch.