What is the best way to transport from Capital Air port to Capital Hotel Beijing?

I suggest you take Express Train to Dongzhimen Station, where you can transfer to the local subway line 2 to Chongwenmen Station which is around 900m from your hotel then. Get out from Exit A1, you can walk westwards to find your hotel.

Or here is another method for you: Take shuttle bus line 3 to the local Railway Station, which is around 2.5km from your hotel. So upon your getting off there, a taxi can be needed to take you reach exactly.