How can I get from Beijing Road to Kunming East Bus Station or airport subway?

Well, Beijing Road is quite long. Are you starting from the Main Railway Station? If yes, you may take bus line 60 from Beijing Road (Yongsheng Road) Station to East Bus Station. There is no metro from the Main Railway Station to East Bus Station by the way.

To the airport, you may take shuttle bus line 2 from the Main Railway Station. :) If by subway, transfer cannot be avoided. And airport subway station is connected to East Bus Station metro station.