Work for the widely anticipated, estimated $27.5 million renovation of the New Canaan Police Department should get underway around Thanksgiving and wrap up in the fall of 2025, so long as other moving parts fall into place, officials said last week. The key to the project’s timing is preparing the longtime home of the Board of Education downtown as a temporary police headquarters, members of the Police Department Building Committee told the Town Council during its regular meeting Wednesday. For that to happen, the school board must move out its Locust Avenue offices and into a newly town-owned Elm Street building, Committee members said. “It really does matter,” Committee Chair Bill Walbert told the Town Council at its regular meeting, held at Town Hall and via videoconference. “If we don’t get the Board of Ed out, into their new space, and they sign off on their new space, then we can’t fit out that Locust Avenue space for the police.