Thanks for info. I decided on the Greenwich property based on much better TripAdvisor reviews, longstanding Hyatt affiliation, and closer proximity to Midtown Manhattan. And according to the concierge. they do provide complimentary shuttle pickup and dropoff from the Stamford (Amtrak, Metro- North) and Old Greenwich (M-N only) stations. The shuttle caveat is that it's depending on availability, so a call at least 24 hours in advance is recommended.