An odd question.

As some of you may or may not know, I'm mildly ocd, and both-handed.
These things aren't related except for the purpose of this question.

Sometimes it makes my brain happy to stick to one hand for a time,
to be only left-handed, or right-handed for this day/week/month,
and also around people I don't know it cuts down on hassle.
When people notice any discrepancy in which hand I use, they want to talk to me about it,
especially other lefties, and I don't feel right letting them believe I'm one or the other,
so stupid explanations and more conversation than I care to have with strangers.

Anyhow, the question being that there are some things I don't know which hand is proper.
Like if I'm pouring creamer into coffee with one hand and stirring with the other,
or adding more ingredients to a pot on the stove that I'm currently stirring.
WHICH HAND IS SUPPOSE TO DO WHICH?

I just do whatever's closer, also if there's lots of stirring,
when one hand gets tired I just use the other.

Does everybody do this or is the "dominant hand" suppose to be doing the pouring or the stirring specifically?