You can get your connecting flight BP at HKG if you're on a KL flight to CPH. Bagage will be checked through to CPH.

There is a fast track passport control and security check lane to enter the Schengen (C and B gates, upper D gates) area, with access for C class pax and short connections, i.e. those listed on the screen only. The fast track is to the left side of the security checks/passport desks.

You will have plenty of time at AMS.