Newark Connection - international to domestic - terminal c to terminal a

Flying back home from a European international flight that connects in Newark. Supposed to land at terminal c and connecting flight is at terminal A. About 1 hour 45 minutes between flights. Flying with my wife and daughter, concerned about the connection time and best route to go from terminal C to terminal A. From what I’m reading I have to clear customs and immigration at Terminal C, recheck my bags at the bag drop outside of customs. Then from here am I supposed to go up to terminal C security, then take the airside transfer to terminal A or is it better to take the airtrain from terminal C to terminal A and clear security there? Moving with my daughter and stroller is tougher so just want to take the most optimized route