We are going to need a price factor here, Aswell for root access your going to require a VPS or a Dedicated Server.
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Depending on your spending limit and a few more details of what you want/need i would recommend a nice vps system, then if things get bigger or are needed maybe then move on to a dedi, if going with a vps i recommend xygenhosting.com great company , great support, etc!
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you will always have root access for the Dedicated Server..
you can consider taking 2 HDD for your server and the second HDD can use as backup hdd..
processor wise.. you can consider a 2xquad core xeon processor..