You may be worrying without cause.
Radiator starts to smoke: When the hot coolant gets into the rad the damp/condensation on the outside of the rad "steams" off. Might look bad, but nothing to worry about and will stop in a few minutes.
Bottom hose is cold: The bottom hose will be the coldest part of the system, and won't begin to get warm until the thermostat opens and the coolant circulates.
Coolant in the reservoir doesn't seem to be moving: The reservoir isn't part of the flow circuit. It's only connected by a smallish diameter pipe to make sure the system is full, and by a small diameter pipe to allow for air to bleed out. Hence coolant doesn't actually flow through it.
Hope it's all OK.
h8v