Claiming dependants for separated/divorced parents

My husband and I separated last year and this will be our first time filing our taxes separately. We have 2 children (under 18) with a 70/30 custody arrangement with him paying me child support but no spousal support. We have a good relationship and have agreed that we will each claim 1 child. Can we each claim the "amount for an eligible dependent" for 1 child. I have tried looking this up but am getting conflicting answers because he is paying child support. For background: we have 2 children and each want to claim 1. we separated in Feb 2019. we have a 70/30 custody arrangement and he pays child support (both of our incomes were factored into this amount) but not spousal support.