Assigning resposnibilties to family members?

From my experience, my mom will assign some jobs to my father as he is a person who don't have the self-conscious to do the houseworks. Between my wife and I, I do the most houseworks as she has less self-conscious of housekeeping like my father lol. We'll do what we're good at like she cooks while I do the cleanning. For some big decisions I'll ask her for suggestion or agreement, I think we should respect each other, and put our heads together for our little family.

You do not say how old these family members are that will receive the assignments. It has always been my experience that a democracy works best in my house. The family heads (my husband and I) assemble a list and present a plan to the family. After open discussion and sometimes vehement protests, a calendar of chores was prepared. The family heads made sure the assignments were carried out and each person did their fair share. Rewards and punishments were determined by the heads. If my husband and I could not agree, then one of us would always give in to the other. We would decide who thought the issue at hand was more important and concede. As for the responsibilities we shared between us, good communication, a lot of love and respect for each other seemed to work just fine. We knew what had to be done, so we made it happen.