My wife and I traveled this week with my 2 month old Jack for the first time. My main advice is leave as much time as you can to get to the airport. We made some mistakes that we were able to recover from to make it on time.
Plan A, we were several stops into the train trip to the airport with plenty of time when we realized that we forgot Jack's suitcase. We were used to packing for ourselves, but not used to that third person who is terrible about carrying his own bag.
No problem, jumped off, jumped on the train in the opposite direction. Got home, grabbed the car and drove to the airport.
Plan B, we were almost pulling into the airport long term parking when it occurred to us how are we going to get Jack to the airport without installing a car seat in the shuttle van. We changed course and I dropped my wife and Jack off and then I dropped the car off and jumped in the shuttle van.
Plan C, Security. Apparently, you don't need to put babies in those trays and slide them through the conveyer belt. Who knew? Seriously, I was carrying Jack in a baby bjorn, so we skipped the full body scanner in favor of a metal detector. I did not need to take him out of the Bjorn, they did give my hands the chemical test and we were on our way.
Plan D, Some airlines have moved the boarding of parents traveling with small children from the front of the line to the middle of the line. You may want to ask at the gate when you will make it.
If you have any common sense, unlike us, you will be fine.