Do I need any processing for my US born son along with my H1?

I am planning to get my H1B stampede in Chennai. My son (5yrs) is born in US, hence US citizen.

Do I need to do any kind of processing when I am getting my H1B and H4 for my Wife?

You mean processing w.r.t. your son? I don’t think so. You just need to get your own visas stamped like normal.