Can you transfer your applications like photoshop from your old mac to your new macbook?
Generally speaking the Apple Migration Assistant (in /Applications/Utilities) will transfer documents, settings and Applications.

However some (most?) Applications transfer flawlessly and some do not. I would imagine, what with all the posts I see online, that Adobe applications may require more than just Migration Assistant. At the very least you will have to activate the applications again with Adobe. You may have to reinstall the apps or even call Adobe support to activate/authorize your Adobe applications on your new Mac.

But I would start with Migration assistant, unless someone here with specific experience with migrating Adobe apps says otherwise.