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With a mallet or rolling pin, pound the chicken breasts to even out and reduce the thickness by at least half an inch.
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Rub the chicken with a little olive oil and sprinkle with the salt, onion powder, pepper, garlic powder, and celery salt.
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Add the tomatoes or spinach to a 9 x 13 inch baking dish. Drizzle with a tablespoon olive oil.
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Top with the chicken.
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In a large bowl, mix the Feta cheese, cream cheese, Mizithra cheese, parsley, dill, and cream.
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Spread the Feta mixture on the chicken.
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Top that with the mozzarella and Gruyère.
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Preheat oven to 350 degrees Fahrenheit. Cover with nonstick foil and bake for 30 minutes. Uncover and bake for an additional 30 to 35 minutes, or until the tops start to brown.