You should be able to shave with most razors. The three blade razors can't get into tight crevices but if you haven't got any tricky nooks and crannies, you shouldn't have a problem.
However, the AVID®4 shaves as well as the leading brands and is economical and convenient. So for £2.99 and free delivery, why not give it a try?

TOP THREE BRANDS

AVID
WILKINSON SWORD
GILLETTE