I like this idea a lot! And the format looks pretty darn spiffy as is, especially on the short synopsis reviews.
You might want to hide the bulk of the full reviews (the ones with spoilers) behind a "more" type link. Would make it easier to read the posts looking for a particular game, and less likely that you'll accidentally read something you didn't intend to while scrolling.
As far as the service goes, have you looked at blogger? It seems to be pretty popular (and I seem to recall it being easy to use). Or you could cadge some space off one of the nice hosting people around here, in which case I'd suggest textpattern (IIRC, it requires a database, but if you needed flatfile, I have a couple of homebrews I could send over).
If you do go with a service that allows categories, definitely consider your organizational scheme/categories in advance! Nothing more annoying than having to redo seven billion entries because of category rearranging.