I would have to agree with the opinion expressed that if you are not having problems with the services provided by your present host, then you must have other reasons for wanting to change, or it does not seem a logical move.
But there are a few viewpoints expressed here that puzzle me because it seems that nobody is placing their finger squarely on the problem -- the Terms of Service.
True, it's hyperbole to state your contract will allow "unlimited" this, that, or the other; but I would not state that is immediate grounds for running from that company, as long as some sort of stipulation is in the ToS that your account will not be deactivated because of high use of resources on a given server.
I'd say that if the ToS stipulates some sort of "unlimited" within the contract that you need to be sure you understand how the hosting company deals with a situation where you are putting such a load on a server that you are disrupting all sharing the server with you.
Of course, I assume we are discussing a shared arrangement, right?
I also feel bad when I read someone's view that even in some developing nations they should go ahead and fork over ten dollars a year to ensure that a domain name is safe from a fraudulent hosting company that may wish to keep you from exercising your rights with a domain name. I feel bad about that because it clearly shows that some folks don't get it. 10 dollars can go a long way in some places in the world. Obviously, some folks don't know what real poverty is.
Anyway, if one doesn't really know about such things by having actually lived in such places no amount of lecturing here will help.
What might be of some help, though, is some discussion of how to hold companies accountable for what they say they will do as compared to what they actually do.
When a company defecates on a customer there should be some manner in which to hold the executives of that company to the fire. There is way too much complacency, in my view, and the reason is that the very regulations that need to be built and enforced within the halls of legislature and justice are the very regulations that so many Internet entrepreneurs have an aversion to. We are still in the so-called Wild West days of the Net and there is way too much of the Jessie James mentality out there. It'll change, for sure.
Communities like this one could be the forerunners of that change.