Q: Synching text messages between iPhone and ipad

Howdy dgehris,

When you ask about syncing text messages between your iPhone and iPad, it makes a difference if you are referencing Messages or SMS.

For Messages see

Send messages with your iPhone, iPad, or iPod touch - Apple Support

How can I link my iPhone number with Messages on my iPad, iPod touch, or Messages for Mac?

 

When you sign in to Messages with your Apple ID on your iPhone, you link your phone number to your Apple ID. If you then sign in to Messages with the same Apple ID on your iPad, iPod touch, or Mac, Messages will link that device to your phone number as well.

iOS and OS X: Link your phone number and Apple ID for use with FaceTime and iMessage - Apple Support

(Has step by step details.)

For SMS and MMS you could use Continuity.

Connect your iPhone, iPad, iPod touch, and Mac using Continuity - Apple Support

SMS

 

With Continuity, all the SMS and MMS text messages you send and receive on your iPhone also appear on your Mac, iPad, and iPod touch. Even if the person you’re communicating with doesn’t have an iPhone. And regardless of what phone they have, you can reply from whichever device is closest to you, including your iPad or Mac. You can also initiate a  conversation by clicking a phone number in Safari, Contacts, or Calendar.

See the details there.

Thank you for using Apple Support Communities.

Nubz