I am not sure who told you to empty tires
You need to have around 20-25psi in the tires all the time. Otherwise your tires will be cracked.
After you install the battery, you should change at least engine oil before driving it. Basically you need to R&R all fluids (engine oil, ATF, Brake fluid, PS fluid; better replace coolant too) before your can normally drive it, for the best of the car.