Speaking as a child of divorce, I can tell you: it was inconvenient to keep my belongings in two houses, but it was never alienating.
When you and your former spouse split time with the kids, you'll undoubtedly be using the remaining halves of your weeks to pursue other personal activities. Your time is necessarily structured such that even when you dedicate yourself fully to being engaged and active parents, you'll still have plenty of off-days to spend on yourselves and your newly reestablished bachelorhood. This is one of the less celebrated opportunities in an equitable and amicable divorce.
If you and your former spouse leave your old joint household intact, where do you suppose you're going to host all of your personal time? Each of you will likely establish other domiciles and other partnerships, and soon, that will be where you're keeping an entire half of yourself that your children will not be invited to come see. Your old, joint-household will remain in stasis, with neither of you taking full ownership. Your children will be able to consolidate their possessions, but they will not have the opportunity to see the model of a consolidated life.
When your parents separate, I believe that you learn more quickly than other children that they have lives and personhoods that extend far beyond their roles as parental figures. But this is not a bad thing. I observed, in my childhood, the differences in the identities of my mother and my father as they bloomed separately from each other. I lived among all the fruits of their respective lives; I lived among their decorating decisions, I lived among the artifacts of their hobbies, I lived among the work materials they brought home. When they remarried, I lived among my new family.
It was not always easy to manage the logistics of living in two homes, but they were two homes that I lived in, not just the estate of a long-gone marriage, attended by two parents clocking in for their shifts between the personal time that they kept to themselves, off in their private apartments.
My parents made good decisions. They understood, like you do, that it would have been harder for their progeny if their lives had to be too radically split in half. They made the choice to get new homes in nearby neighborhoods (only a twenty minute walk from each other), so that neither would ever be rendered inaccessible to the schools, friendships, or activities that the other supported. I certainly encourage you to make similar arrangements, if you can, and I exalt you for remaining on excellent terms with your former spouse. But I cannot recommend that you contrive, in the way that you've outlined, to keep the household that you once had together. I think that such an arrangement will prove impractical, and I do not think that it will be as nurturing as you think.