Alright your kid is constantly pulling your arm, and you want to be making art. How do you deal with that? Think about what are the stages of your work and what can be done where. Some parts are really messy or require a big space, I let those for uninterrupted days. For small tasks that can be moved around without a huge problem., this is what I'm doing.
Take a small piece of wood, like a 8x10 or enough to fit on your lap, bring 2 bags, one for clay residue and the other with enough clay for the job, a handful of tools and a bottle of water.
I moved few times, from the sofa to the kitchen table and my computer desk bit I got couple of pieces almost done and they are looking pretty good.
While all this process I was feeding my kid, changing diapers, making breakfast and playing with toys and of course always keeping an eye on him.