TXV advantages: Protects equipment better; Keeps overall efficiency higher; Allows homeowner to keep it colder inside without as much risk of damaging compressor.
TXV disadvantages: Costs more; problematic if it isn't installed correctly.
Orifice advantage: Cheaper; Less likely problems with the orifice itself.
Orifice disadvantage: More likely to allow the compressor to be damaged from liquid refrigerant; Homeowners should not run their air conditioner when it is cool outside else compressor damage may occur; Homeowners should not set the thermostat below 72° else compressor damage may occur; Least efficient metering device.
I'd also recommend going with a TXV.