How to transfer text messages to a computer and be able to read them?

I have an old iPhone and I really want to be able to read some of my old texts on there (I have to do it from here because my phone is really messed up and crashes if I load too much since there isn't much storage space left).Is there any way I could be able to do that? I've tried a couple different things but nothing has seemed to work out so far. If you have any idea that would be greatly appreciated!

It is possible.

Visit this link first:
http://www.hongkiat.com/blog/backup-iphone-sms/

then this
http://www.iphone-sms.com/