swilczek, we can definitely help you with that. Disabling LTE service is easy. Just tap Settings>tap More Settings>tap Mobile Networks. You will be provided with the option to disable 4G LTE.
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Your answer doesn't work with the Note 3. To completely disable 4G you would need to be only on CDMA (not including LTE). There isn't a CDMA only option for the Note 3 as shown in the screenshot above. I do however see the option to turn mobile data on or off, but that would disable all data capability unless you're on Wi-fi.