Final answer:
Funny channels allow sodium movement into cardiac autorhythmic cells during early spontaneous depolarization, playing a crucial role in initiating the action potential for the heart's rhythm.
Step-by-step explanation:
The channel type that allows sodium movement into the cell during the early spontaneous depolarization in autorhythmic cells is C) funny channels. These channels are unique to cardiac pacemaker cells, or autorhythmic cells, and they play a crucial role in the generation of action potentials which give the heart its innate ability to beat rhythmically. As the funny channels open, sodium ions enter the cell and initiate the slow depolarization that ultimately leads to the threshold potential where an action potential can be triggered.