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Maybe for you is to late, but if other would be looking for info I can advice. Absolutely if you are looking for thecheapest way, airlines companies are expensive. There are no trains, sobetter would be travel by bus. it would be 3 or 4 times cheaper than plane. you can take as much baggage as you want. there aren't limitations.
Check ecolines or luxexpres (more expensive) Both are comfortable and you can buy tickets on theinternet. they also hve wi-fi, so will not take long if you have a computer oriphone.