Child tax credit question

Curious – do you all share your child tax credit with your partner? This will be my first year filing with my daughter and I am unsure about halving the credit with him as he asked because I am the one who cares for her full-time. His family sends diapers and wipes periodically, which is helpful and appreciated, but does that equate to him deserving half if the credit? He just got a job and said he plans to start paying for a nanny and some supplies monthly, $250 worth of support, but unsure if he’ll follow through. My daughter is only six months and we split when she was two months old. Things have been rocky, but I don’t want this tax situation to ruin a future coparenting relationship or make him go after custody of my child out of spite.