Going Through Customs/Immigration at Milan Airport and On To Cinque Terre

Immigration is after you get off the plane and get herded to the immigration station. After that, you go to luggage carousels and get you luggage, then you walk out the "Nothing to Declare" door (that is Customs) then follow the train icons to the train station.

You’ll know where to go -it’s where everyone is going
Immigration well signed for EU passports and Others

You can purchase your whole train journey at the Malpensa station
You might want to look at the schedules to see what your options are rather than making a decision while jet lagged;)
https://www.trenitalia.com/content/tcom/en.html

To get train tickets that will take you to Milano Centrale, follow the signs/icons for Treni/Trains. You'll see kiosks as well as a ticket counter where you can buy tickets for the Malpensa Express. Be sure to validate the ticket at the top of the escalator before going down the get the train.

I want to once again thank all the experts for guiding me through my first trip to Italy. Your recommendations were exactly what I neede, I sincerely appreciate your efforts!!

What is the quickest way to get to Milan Centrale -- bus or train?

@Janettravels44- the quickest way is train because the Malpensa express goes directly to centrale, whereas the bus goes through Milano and, as one who’s driven in Milano many times, the traffic can be horrendous.

thanks. We are trying to get to the Duomo before the last visit and it is tight -- so I guess we'll take the train, drop our luggage at the hotel near the central train station and try to figure out the nearest metro to get us there before it closes. The last time we were in Milan we took the bus but we were also not in a hurry.