How can I see each playlist from my iPod touch on my computer. I would like to organize it, take songs or add songs to an specific playlist but Cant seem to see it once I plug my iPod in the computer

How can I see my iPod Playlist on music in my computer. I recently got a new MacBook Air. I had an Old MacBook Pro and when I plugged my iPod iTunes will launch and I could see my iPod with every single playlist I had, I could delete individual songs from a playlist or add one from another playlist or computer, How can I do that in my new computer. When I plug my iPod in I can see my iPod but I see the entire list of all songs in my iPod, my playlists dont show up like they used to with my other computer on the left side of the screen under iPod. I am a dance teacher and I organize my music from my iPod. Once I create a Playlist and drop it on my iPod I want to see it also as a playlist not bunched up with the rest of the music on the list. Thanks