What Ron said, the big thing is getting hangar space. At some airports it's no problem, others not so good. For example, at SNC (Chester, CT), there is a waiting list for hangar space, but across the river at 42B (Goodspeed), there are hangars available... possibly because they charge significantly more. You're in Stamford, unfortunately there are not small airports near there. You probably wouldn't want to use HPN (Westchester), there's airline traffic there, but I know there are some experimentals at Danbury and Bridgeport. So when you have a target date to get the plane done, you contact the FBO at the airport and ask about hangar space. Some airports may require liability insurance for aircraft based there.