As you probably know, the Yankees will open new Yankee Stadium on April 16 against the Indians.
But there will be one or two exhibition games at the Stadium, a shakedown cruise of sorts. The Yankees are talking to the Cubs about being the opponent. The games would be sometimes around April 3 or 4. The Cubs open in Houston on April 6. The Yankees will be in Baltimore. Its almost certain the teams will take April 5 off.
As of yet, no schedule for spring training has been released.