I'm going to assume you're talking about "Karma Kagyu," though you may be talking about the Drikung, or even the Drukpa. Anyway, for Karma Kagyupas:
These days, it's often common to begin with Chenrezig practice, which is the main public practice at Karma Kagyu centers world-wide. Also, samatha and vipassana. Ngondro. Maybe Lojong Don Dun Ma. More Ngondro. Possibly some Green Tara practice. Maybe even some Mahakala/Protector practice at some point. Did I mention Ngondro? More ngondro.
In my experience these are the main focuses for beginners in the Karma Kagyu. Karmapa Khyenno.
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