Thinking of moving to Thessaloniki with a 5 year old & 6 year old - how is the quality of life and education system in Greece?

My husband and I are thinking of moving from Canada to Thessaloniki, Greece, with our two small children, 5 years old & 6 years old. We are Greek, and we all speak Greek, including our children. We have a place to stay, so we would not be renting or buying. We are all Citizens of Greece so we would have access to the Health Care system. Not sure if we would also need private health care?

Our dilemma mostly lies in how the current public education system is now in 2019? I have found a lot of info online but it is older information and I am not sure if things are improving? 

Sending them to a private school would probably not be an option because from what I have read it is very expensive. I am worried that the opportunities for my children would be limited regarding education but I am not sure if this is just a fear or a reality. Can anyone please tell me how things are in Greece right now. "Overall living and education system?"

I am trying to make the best decision for myself and my family and am having a really hard time. Canada is great but the Winters are horrible and the lifestyle is very regimented and monotone. I would love to live in Greece where the weather is warm and the lifestyle is more relaxed and enjoyable (if thats how it really is).

I would appreciate any advice, that would help me make my decision for the best for my family and especially my children. 

Thank you in advance for all your input.