Keep Samsung apps/"features" after rooting?
Rooting your phone (standard rooting procedure; not from flashing a custom ROM) will not make you lose Samsung features. 

If you flash CyanogenMod (which is a custom ROM that also has root pre-installed), you will no longer be able to use Samsung's features. Samsung is Touchwhiz-based (TW), and CyanogenMod is AOSP-based. Apps developed only for TW-based ROMs are not compatible with AOSP-based ROMs.