We introduced in class the structures "so do I" and "neither do I" to replace "me too" and "me neither".
If you need to revise how this structures work, click on the following link and read section
If you don't know or you are not sure about when you can use "me too" and when you should use "so do I", here is the answer from the BBC Learning English site to this question:
Finally, here are some exercises about the structure "so/neither do I":
