I always would advise a new Hornet owner to start with Lilgun powder. Hodgdon says the pressures are lower and the speeds are higher. I can't measure pressures, but I can velocity, and I get 2,850fps with a 45gr bullet out a a 20" Ruger M77 (mine is a plain Hornet, not 'K').

As to primers, most of my Hornet loads use a small pistol, but I have very good loads with small rifle as well. Try them and see.