R.J.
We didn't do the bank... but we did split our weekends (we actually have 3day weekends... but ditto academia, we're working 24/7).
How we've done it is one day is his, on day is mine, and one day is family day.
One "our" day we can sleep in (until dinner if we really wanted), schedule aaaaaanything (aka get up at 6am and come back at midnight also if we wanted). Then on family day, it's the 3 of us. Sometimes we plan ahead, sometimes we just laze about or play by ear. Having that one day a week to count on for absolute freedom has been absolutely killer. The person who's day it is doesn't HAVE to leave, but they have the freedom to at any time... no checking. Over the past 7 years there have been times where it's lapsed (saturday morning soccer... etc), but in general it's held true.
Theoretically we each also have 2 evening a week that are mommy nights or daddy nights, and 1 night that's family. This is a lot more haphazard, more of a "hey I need tues & thurs this week) kind of thing. The nights are available, but only if it's not alllllllll the time. More of an overflow situation.
:) R