You're in luck! Typically, Verizon phones are sold "unlocked", which means you get your choice of either the CDMA network or the GSM network.
In my experience, I would recommend the CDMA network for the iPhone 6, because it lacks one of the important frequencies we use on our GSM network for calls and texts, and those are kind of important. It will still work if you choose the GSM network, but just know that you may experience issues receiving some phone calls. It's not a guarantee that you'll have issues, it's just common enough that I would want someone to mention it to me if I were in your shoes.
Once you have the SIM card in your hand (after the search, click the CDMA network selection and it will take you to the right SIM card), you can activate it at ting.com/activate, which will give you the option to put a brand new phone number on it!
If you get stuck, reply to me here (my team can see when you reply and can get back to you quickly if I'm out of the office) or the entire support team at email@example.com -- we're here to help!