Store bought, or old, corn tortillas get dried out so they need to be rehydrated.
There are various methods for rehydrating/heating corn tortillas. These methods below are easier than making tortillas yourself. Tho corn tortillas can be made at home, it just takes some practice to get the hang of making them. You can make them at home using masa harina (which is dehydrated masa. Not cornmeal or corn flour) or with fresh masa, available at tortillerias and many Latino markets.
Per Rick Bayless:
For rehydrating a stack of 12 corn tortillas, wrap in a kitchen towel and put in a steamer basket in a pot with half an inch of water over high heat. Cover, when steam puffs out, time 1 minute, then take off the heat and let sit covered for10 minutes before using.
Another way is to put up to 12 corn tortillas wrapped in a damp paper towel into a microwaveable plastic bag, do not close the bag tight just fold the top over. Put into microwave and heat at 50% power for 4 minutes. Let stand 2 or 3 minutes before using.
To rehydrate just a few corn tortillas, wet your hands and lightly brush both sides of each tortilla, stack them and warm them on a dry hot griddle or pan, flipping them and shuffling them until you have heated them all on both sides. The moisture creates steam to rehydrate the stacked tortillas as you warm them. They can then be used immediately.
Heating corn tortillas over a flame or grill will dry out corn tortillas and make them crack when you fold them for tacos. Instead, use the above methods. Tho the added moisture may not be needed on fresh corn tortillas when heating just a few at a time on a dry griddle or pan.