Amplifying M13K07 should be very simple and straightforward. Be sure your SS320 strain is still carrying the F episome (selection with tetracycline) and then just infect a small aliquot with your M13K07 stock. Add fresh rich media (LB or similar) and let grow for many hours until dense. Remove the cells by centrifugation and filter sterilize the supernatant. You should have very high titer stock of the helper phage. You can add kanamycin after a few hours of growth but don't have to.

Thank you Michael J. Benedik