Running a giveaway or competition on your page is a wonderful (and cheap) way to increase your following on Facebook. Depending on the type of business you own, you can run weekly, monthly or bi-monthly giveaways. You may even want to run a series of weekly giveaways or deals - eg "Lunch shout every Friday for the month of May"
Choose prizes that align with your business and audience and make the giveaway fun! Test and measure various giveaways and see what works best for you. Below is a simple infographic that will guide you through the steps of running a giveaway to your page. Feel free to reach out if you need some further advice.