However, if you really want them to choose a 12-month lease, then don;t ask them, just send them a notice of intent to increase the rent under month-to-month agreement and give them a form with a box to check to give them a choice between the increased month-to-month costs or a new 12-month lease at the same rent (or modest increase).
box 1 – Renew 12 month lease at $X (e.g. no increase in rent).
box 2 – continue month-to-month with $X increase (as of a date far enough in the future that you can give 30 days notice, so e.g. 45 dayd from when you send the letter.).