Most towns in CT surrounding Hartford will meet your requirements of 1-3. There are plenty of other towns like Windsor, Manchester, Rocky Hill that also has a good amount of rental options for young working professionals.

Your ask on urbanization is not easily going to be met. Imo even West Hartford isn’t comparable to what most would think of as a “City”. Perhaps downtown New Haven would be as close as you can get in CT and be within reasonable hybrid commuting to Hartford.