Can we give a different last name ( Surname) to babies? other than mine ands my wife's last name ?

We live in Connecticut. I am on H1-B visa and priority date in 2013.

Can we give a different last name ( Surname) to babies? other than mine ands my wife’s last name. ?

My wife’s and my surnames/last name are different. My last name (Chitoda) is very complicated and difficult and USA people face problems pronouncing it.

As per India we can keep another surname/last name - Maheshwari

Can we give Maheshwari surname/last name to my kid ?

Will this cause any problem if the baby has a different last name then mine or my wife’s last name ?
We want to known

  1. This is legally ok to give different Last Name to kid
  2. If yes then we will face any issue anywhere ?