You could forward them to your e-mail and print them as e-mail but you'll likely lose the timestamps and it can get pricey if you don't have a text package. Another option might be bitpim software, i.e. Welcome to BitPim
I definitely understand wanting to keep records. Your best bet is to download Verizon Messages on a computer and log into your phone number. From there, you can use the print screen option.http://vz.to/2hDsYEP
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