Hi,
Route from Capital Airport to Shenzhen Hotel Beijing:
Bus No.359 (Capital Airport to Dongzhimen Outer) => Subway Line 2 (Dongmen Outer to Fuxingmen) => Air-conditioned Bus No.697 (Zhenwumiao 真武庙 to Guanganmen North 广安门北)
Route from Shenzhen Hotel Beijing to Jinqiao International Garden:
Bus No.46 (Guangwaiguanxiang 广外关厢 to Zhenwumiao 真武庙) => Subway Line 1 (Nanlishi Road 南礼士路 to Tiananmen West 天安门西) and then a 300-meter-long walk.