Hi Barretts,
First the good stuff - your page title tags look good, and you actually appear on the first page of google for the phrase "oxford student storage" - of course who knows how many people are searching for that?
As OldWelshGuy said, you will need to run some adwords, do some link building (but don't pay for them) and enter yourself into the google business centre.
Now for the bad - the site isn't consistent between Firefox, IE7 and IE8; the content falls out of your signpost boxes. Also, font style between pages isn't consistent, some have a mix of serif and sans serif and generally they should be kept the same, makes it easier to read.
One thing I'd recommend, you have 3 signposts offering a months free storage in some form or another, but they aren't very big and don't stand out. Maybe create one large signpost which says "Get 1 month free storage" with a link to a page explaining how to get the free month.
I hope some of this will be useful, sorry if it sounded overly critical.
PS there's a spelling mistake in your meta description "Thames Alley"