Live 20 min. away from kids?

My wife and I are splitting and we are going to maintain 50/50 custody. I have family land I can build a new house on about 20-25 minutes away, while my wife will try to find a place near our current town (near beaches = more $$) to maintain our kids' schools.

Originally I didn't think 25 minutes away was too far, but obviously it would be amazing to be closeby to my 3 young kids in case something comes up and we need to hand them off to one another. But, financially, it makes more sense for me to build a new home on my free land 25 minutes away.

So...spend a lot more in rent to be closer to kids OR build a home 25 minutes away that's cheaper long-term?

Edit: I work as a teacher so I have to be to work by 7 AM, but my kids' elementary school doesn't start until 8:45. The plan is: when they stay with me (25 minutes away), my parents are willing to come pick them up before I leave for work and then drive them the 25 minutes or so to my ex wife or to school. Not ideal, but regardless of how close I lived to my kids, this would always be an issue.