You will need connectors that are rated for quad coax because the quad is thicker and presents a challenge to install. Also you must have continuity between the 2 shields and the tin foil wrap.
There should never be any continuity between the center conductor and the shields.
Just as a side, unless you live in an area which is inundated with all kinds of interfering stray RF fields, good quality RG6 is all you need!
OTA, CM4221HD, 3410 amp, 4 way split, HW-150 PVR.
FTA, Openbox S9, 33” dish, PLL LNBF. Stab 90HH.