Samsung Galaxy S III work in my Area?

I was wondering if the Samsung GS3 will work without wi-fi on straighttalk or does the IPhone 5 have the ability to work without being hooked up to a wi-fi or does neither? Cause I live like 8 miles away from my city and I have a samsung straighttalk cell phone that works just fine not being hooked up to a router.
I just wanna be able to access features such as skype, imvu2go and paypal. Is this possible to do on either phone without being hooked up to a wi-fi?

Thanks :3

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