The registrars of voters shall compile separate lists of all qualified electors making application for enrollment according to the declared political preference of such electors. Before each primary at which unaffiliated electors are authorized to vote, under section 9-431, the registrars of voters shall also compile a list of unaffiliated electors which shall be a component of the official checklist to be used at such primary. In those towns having cities or boroughs within, and not coterminous with, their limits, the registrars of voters shall also prepare such lists for use in such cities or boroughs; and when towns, cities or boroughs are divided into wards or voting districts, the registrars shall also prepare such lists for such wards or voting districts. Any town, city, consolidated town and city, or consolidated town and borough may, by vote of its legislative body, require the registrars of voters to designate the party affiliation, if any, of each elector on the registry list with the name of such elector, and, if it is so voted, may provide for the continuance or discontinuance of separate enrollment lists, except as provided in section 9-55. Whenever an elector’s name has been removed from the registry list or transferred upon the registry list because of a change of address within the municipality, pursuant to section 9-35, such name shall also, at the same time, be removed from or transferred upon the enrollment list or upon the list of unaffiliated electors, if applicable. In all municipalities, when a transfer of enrollment between separate lists of the same political party is made because of the removal of an elector from one voting district or ward to another voting district or ward in the same municipality, the registrars of voters shall transfer the name of such elector from the list on which it appears to the enrollment list of the same political party in the voting district or ward to which such elector has removed unless such elector has made application for erasure or transfer of enrollment to the list of another party. All such enrollment lists and lists of unaffiliated electors shall be arranged in the manner provided by section 9-35 for the arrangement of registry lists in such town except as modified by sections 9-51 to 9-65, inclusive.