Make your new songs (grids) and drag them into a new Playlist (File>New playlist).
Name the playlist.
Click on the playlist to make sure it is selected (check all your songs are in there);
Top right is the Share icon, Email the playlist to your iPad (if you have a song selected in song view, you can just Share>Song via email)
Is this enough information?
There are tutorials in the Help menu.
OSX comes with the "Bluetooth File Exchange" utility. It's super easy to share files between my iMac and my Android tablet. Does the new iOS not support Bluetooth File Exchange? If not, then I am dumbfounded!