Me and my wife use fogbugz (free 2 user license) to do this.
God I can scarcely think of few ways better to destroy your partner's respect. I know I'll get downvoted but meh. You should already have your own means of tracking 'todo' and you should be in charge of what ends up on there.
I have friends that use google calendar for this.
My wife and I engage in conversations about tasks.