Hello, Sonya.
Welcome to the Three Community.
If you're looking to upgrade your current plan to an unlimited one, the best thing to do would be to check out the offers on My3. Checking out the website just now, the cheapest unlimited plan is £26 per month, with the first 6 months being half price at £13 per month.
A plan that fits the price you've mentioned would be the 120GB Plan, it's normally £16 per month, but the first 6 months are £8 per month.
Pete.
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