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Since you will be hosting videos on your website you will require good space and bandwidth and memory. I would rather recommend you for a cheap dedicated server as a VPS with good configuration will cost almost or same as a usual dedicated server.
I also recommend you to choose dedicated server base on the way you wanna use. may i know which country you want? i can advise you some suitable setup with good price for you. we also have a promotion now : you can check here, to get one month for free:http://bit.ly/2cozpXS