After you meet with your legislator, follow up with an email, letter, or even a card thanking your legislator for their time. You should stay in contact with your legislator by sending a thank you for positive action, a gentle reminder for neutral action, and a friendly (as possible) show of disappointment for negative action.
Always remember that by keeping in touch with your legislator regarding your priority issues, you are doing them a favor. State and local legislators do not hear from their constituents as often as you might imagine, so your request and your persistence will stand out and remind them of the important work that needs to be done in their district.