What size are your nozzles? What are you connecting to? What code are you designing to? What is the contained fluid? What are your design conditions?
In general, you will not be able to get your nozzle reactions to "zero." Most equipment vendors today will give you real limits for loads, although they may still be difficult to meet.
If your pressures/temperatures are within reasonable limits, you may be able to place a metal bellows or rubber expansion joint at the connection and effectively produze "zero" piping loads. Pressure balanced expansion joints are also available, although considerably more expensive. They can come closer to "zero" loads.
You might also want to look at NEMA SM-23 for a discussion on allowable forces and moments on steam turbines, or API-610 for pumps. WRC-105 is a tool for calculating stresses in nozzles on cylindrical tanks that is useful for many applications.
You should send a formal request to your equipment vendor for approval of the forces and moments you have calculated with your latest run. Note that in many cases, moments are more critical than forces at terminal connections. You should include calculated moments in your rrequest to the vendor.
_________________________
CraigB