The question sounds so simple ... but it really isn't. Am sure others might disagree with what is written below, but ...
First, the hosting 'quick install' apps/buttons ... what version of Moodle does it install? Does hosting provider actually support their installs? And once you have a version installed, will the hosting provider also provide 'one click' upgrades? Upgrading is important ... see http://docs.moodle.org/dev/Releases and note that under each version listed there is a date for when support ends. For 2.5, as an example:
Bug fixes for general core bugs in 2.5.x will end May 2014 (12 months).
Bug fixes for serious security issues in 2.5.x will end November 2014 (18 months).
So let's say your course is still running in Nov. of 2014. Now the task is how to upgrade it. Not impossible, but will require some work and knowledge one didn't gain when using the 'quick install' button. Yes, there are alternative routes ... backup courses, restore courses to a fresh new version, but how reliable are those? Never been tested by user to know. (might add that a for the most part restoring has few issues, but there are some courses that do have issues).
Second: how flexible is the hosting plan? What are the caps for storage, bandwidth, and DB? If your course stays viable until Nov. 2014, by then DB has grown and you've added more content (hopefully very interesting approaches to instruction/learning). If one is keeping an eye on users and their tech (highly recommended) you might be providing audio/video for multiple platforms ... iPads/Android tablets as well as traditional computers. So you started with the 'cheapo' and now you need to expand/increase your plan. Actually, hosting providers have been known to tell customers they need to do so because they have surpassed the caps of their original plan. In some cases, they actually might block access to your site until the issue is resolved. If on shared hosting, you are entitled to your 'fair share' of resources ... those you pay for ... and no more.
Bottom line ... It is wise of you to ask the question. However, not everyone's experience with hosting company Y or X is the same. Ask some futuristic questions of the hosting provider. IMHO, better to have more than you need than find yourself short (if at all possible). Yes, that might cost more.
'spirit of sharing', Ken