BRANFORD — Connex Credit Union this month opens a new Branford branch, at 620 West Main Street. The new branch will also debut Personal Teller Machines (PTM), which the “Unbank” bills as a convenient, electronic way to handle personal finances while still providing the personal service of person-to-person transactions. For its scheduled February 13 opening Connex pledged to make an opening day charitable donation of $500 to benefit the Community Dining Room, a Branford-based non-profit that provides food, support and companionship to the shoreline area. Connex has pledged to make an additional donation of $10 for every new checking account or loan opened at the new branch through March, up to $500.