As a parent your gaming life comes second or third. I've learned to multi-task until my child becomes old enough to not require my attention every 10 seconds which won't happen until they are almost teenagers. The biggest thing I suggest is play with other parents and if you do DF let the others know before hand that you are a new or active parent and may need to suddenly stop when your kid learns how to make fire for the first time.

For tools I use a 17 button mouse to play one handed for feeding and tending to boo-boos.
A single ear piece so I can hear TS, music or w/e and still listen to my child talk about nothing for 30 minutes in my other ear but still pretend to be overly excited & interested to spare his delicate feelings.
I also use two cross eyes one for focusing on my monitor and the other for looking at my child's 15th awesome stick figure drawing of his family and to make sure he's hasn't wandered anywhere un-designated since they are excellent at Parkour.