Congrats on your baby! Since Bitcoin transformed your life, pass its value to your child, mine BTC in his name, gift him a wallet with monthly DCA, and teach financial sovereignty early.
Mining bitcoin in his name will be nice, but the thing is, how much is the OP willing to spend on mining tools which could be able to give him something worth passing over to his or her child? Without having enough capital to pilot mining, the outcome is almost minimum to nothing.
I will prefer where the OP can make some scheduled purchases of bitcoin instead for the newborn over time; before the child gets off age, there should be enough already accumulated to be transferred to the OP's child.