How to transfer text messages?

I had an iPhone 4, and got an iPhone 5s about 2 months ago.

I want to get my old text messages off of my old phone and onto my new one WITHOUT deleting the ones from the past 2 months, is this possible?

I want my old texts because I want to have the texts from when my boyfriend and I started to date because they are special to me.

Yes, it's possible. You may try this phone to phone transfer. After you connect your iPhone 4 and iPhone 5s to computer with the USB cables, the software will recognize your two iPhones, and then you can drag and drop the messages between them. This app worked for me, hope it helps you.

Sure. It is possible to do that. Third-party programs like iPhone Transfer Platinum can help you transfer music/movie/Pictures/TV Shows/Podcast/iTunes U/eBooks/Camera Roll/Ringtone/SMS/Contacts/Voice memos/Camera shot files from your iPhone to another.How to transfer text messages - 1