It really is important to heat some olive oil (1 TBSP) in a non stick pan to heat the corn tortilla (both sides) and eat immediately. So, anyone eating the soft corn tortillas may be on cooking duty unless the host is.
Warm flour tortillas in the microwave, several at a time in a clean dish towel, covered by another towel. Don't stack the tortillas in the microwave but you can in the Tortilla warmer and place on the table.