Public Tranportation Help (Peekskill, Patterson, Pomona: live in, train, places)

[DLane]

hello Im new here

Im hoping to get some advice on a fix Im in. I have two job offers. One in Pomona, NY and the other in Patterson, NY
I live in Peekskill, NY and I was weondering if there's a way I can get to those places by Public Transport,,either train or bus.
I would drive but I just started driving so im not too farmiliar with places and please I have to get my own car, til then Im hoping to use public transport to these place

So if anyone has any advice on how I can make this happen. I'd really appreciate it

Thanks!