HVAC system replacement

[Marco-Dane Samuels]

Recently bought a property that needs a total HVAC system replacement. I had more than one HVAC tech come out to verify. The system I have now is an old furnace, and I've been informed it's too large for the property. It's a 3 bed 2 bath, roughly 1300 Sq ft mobile home built in the late 80s. We're located in the Gray's creek area of Fayetteville, North Carolina.

My technician recommended the RHEEM/MORTEX - 14 SEER 2.5 TON MANUFACTURED HOME HEAT PUMP - 2 STAGE for my home. Total price is a little over 12000. 

Which is better, a one stage or 2 stage system? I've done some research, and I've learned a 2 stage system is more efficient and reliable than a one stage. Moreover, it has a high likelihood of lowering my utility costs. However, installation and parts are more expensive. 

Any insights you can provide, I would appreciate. Thanks in advance.

.