Quais são as maneiras de mover dados com mais de 'Y' dias para uma tabela de arquivo/histórico no MySQL?

CREATE PROCEDURE prc_clean_tables (Y INT, Z INT)
BEGIN
        BEGIN TRANSACTION;

        DECLARE _now DATETIME;
        SET _now := NOW();

        INSERT
        INTO    b
        SELECT  *
        FROM    a
        WHERE   timestamp < _now - INTERVAL Y DAY;
        FOR UPDATE;

        DELETE
        FROM    a
        WHERE   timestamp < _now - INTERVAL Y DAY;

        DELETE
        FROM    b
        WHERE   timestamp < _now - INTERVAL Z DAY;

        COMMIT;
END