But I've heard that Comcast and Verizon offer deals to customers to keep them from switching and they offer incentives to get people to switch back. So I figured it couldn't hurt to call Comcast to see what kind of offer they might make to keep my business. I called and talked to the billing person and explained that I could save over $20 a month with FIOS. She tried to sell me a bundle of phone, Internet and TV but I am not currently interested in switching all 3 services

15 minutes saved me $148.
Now I could have saved about as much by switching to Verizon. But there is still a bit more time and effort involved in that and right now my Comcast service is working just fine for us.
If you're considering switching providers just to save some money then why not give your current provider a call and see if they'll offer a discount to keep your business. This tactic could work with cell phones, cable TV, Internet providers or any kind of service fee where they have competition and offer discounts to attract new customers.