Perhaps the most popular set of wine glasses on the market, the Riedel Vinum collection is a great way to start. It comes with four Chardonnay glasses and four Bordeaux glasses as well. True, you don’t have the nuance of say, a Burgundy set of glasses but that’s no real matter. The Burgundy you pour will do nicely in the Bordeaux glasses and the complete set will allow you to enjoy wine the way you want.