How do I change the Apple ID on my MacBook to match my iPhone?

When changing to the new ID, there may be some data loss, but you can minimize it. If syncing photos with iCloud, ensure Optimization is turned off in Settings/Your Name/iCloud/Photos and/or in Photos/Preferences/iCloud. Then make sure full resolution photos are on the device/computer. When signing out of iCloud, if asked whether you want to retain data, choose yes. Messages conversations will be lost if they are addressed to the ID. See the article below for other places that the old ID should be removed. See Winston Churchill's response in the below discussion. If possible, also set up Family Sharing  between the IDs to keep access to your apps/purchases. 

 How to switch Apple IDs on your iPhone or iPad.      

How to transfer all files from one iCloud account to another.       

What to do after you change your Apple ID or password - Apple Support.      

Family Sharing.         

Family Sharing - Set up.        

Hello AirbookIDchange,

Apparently several are seeing things in your question that you do not specify. If all you are wanting to do is essentially what you ask about then follow my directions about signing into iCloud on your Mac.

If you are talking about transferring Apple IDs which you did not actually ask about in your question then read the recommended reply.

Apple menu > System Preferences > iCloud

Change the settings there.