Almost all GM products idle rough when its cold but, if it continues it may be the tps swich.
Could be the drivers.
A bad radio speaker
seal. expensive
motor mount
short circuit in the circuit
transmission leak in reverse only
Partially clogged fuel filter or the pump is failing.
Probably the blower motor, wiring to it or control switch
start with checking thermostat
You might need transmission fluid !?!?
car door light stay on
air mixing door actuator motor behind glove box