I am aware that migration/wound healing, sphere formation, flow cytometry, and immunoblot are all good experiments for these types of questions. I'm not sure if these experiments answer the EMT or CSC (cancer stem cell) question better.
You should learn the process how EMT or MET takes place in cellular organ systems. Then you can target them or count their population using specific transitional marker with specific antibody. You can easily count by flow cytometry.
Before setting up experiments, you should first concentrate on the markers you want to study depending on the field you are working in and the type of cancer. There are indeed different markers for cancer stem cells depending on the type of cancer. Pay also attention on the field your are studying EMT, is it after radiotherapy or during any other treatment... Then you can certainly make immunoblot or flow cytometry depending on your conditions and your markers, but also migration test and sphere formation for a mechanistic approach
We work a lot on the tops you have questions about. The CSC haves specific markers depending upon type of cancer. By using flowcytometry you can isolate those populations. Also, you can do the Immunocytomemistry to visualize CSC population. Please go through the paper we published recently.