How can I print some of my text messages saved on my Samsung 3 phone?
Install SMS Backup +. It backups all messages to Your GMail account, in separate label. From there, printing is easy as pie.
SMS Backup + can be found here: https://play.google.com/store/apps/details?id=com.zegoggles.smssync
You can print out SMS from your Samsung by following ways, First, take screenshots of the SMS you want and transfer them to PC. Second, find a utility tool like a pc suite for android which can help you export your SMS to PC and publish to Excel. Just google best android pc suite, you will find plenty.
Without giving it too much thought I believe the easiest method is to create screenshots and then print those - either from the phone directly (if you have that setup) or by transferring (or emailing) them to your computer and print from there.
Assuming you run Android 4.X you can take a screenshot by press and holding the Power- and Volume down button until you hear the camera sound (or your phone notifies you that it took a screenshot).
I'm not sure you can access and read the text messages using the Samsung Kies software but with something like AirDroid you could access the phone from your computers browser and print them.