I cannot think of anything worse in terms of navigating shared care than nesting. Nowhere is properly yours, and the amount of contact you would have with your ex over and above child-related issues is enormous - you'd essentially still be sharing bills, admin etc. on two properties. I'd do it if we could afford three properties, and we decided it was best for the children but otherwise it's a hard no from me.
My children have gone back and forth between two houses since they were quite small. We have always had a routine but they do swap houses regularly during the week - currently they spend Sunday, Monday and Thursday nights with me, Tuesday and Wednesday with their dad, and alternate Friday - Saturday. That works purely because the two houses are close enough by that they can (now) walk or cycle (bikes and scooters have been game changers) or get the bus between them and in previous years that it was a short drive. They would say that they like being able to see each of us regularly and that a week away is too long (funnily enough we were discussing this last night). On the other hand, it's what they have always done so they don't really have much experience of the alternative.
What worked for us was not being precious about clothes and which clothes lived where, making sure there was enough school uniform to cover emergencies, and doubling up on things like laptop chargers, special toiletries etc. They have two of lots of things (e.g. pairs of trainers) and they could in theory swap houses at a random point and pick up easily without any problems as long as they had blazers, ties and school bags. That's not cheap but I see it as a tax on us for deciding to get divorced - it's not their fault so we tried to make it as easy as possible.
School was good about duplicating text books and we got used to the occasional panic that something was in the wrong place and just acknowledging that a bit of shuttling of equipment was part and parcel of the decision to separate. When they were little, special bedtime toys were either doubled up or a good substitute was sourced. We had a handover checklist for weekends which meant uniform and sports kit came back to me ahead of the start of the week when they were younger.
It's made two of them very organised indeed - they are excellent planners and really good at thinking ahead. The other one has learned some useful skills though things still get forgotten, but I think in the absence of this it would have been quite a lot worse.
It has meant my ex and I have had to be quite responsive and willing to co-operate which is hard sometimes, but it's probably kept us (at least) on civil speaking terms. It is a lot to keep track of but I think worth it.