It looks like your stairs are wider than the ones in my home! It is possible for me to carry the DC24 in one hand while I clean with the other (since the cleaner is so light!), but I prefer to leave it at the bottom of the stairs and use the extension.
Although Vax do supply it with some of their less-powerful cleaners, it doesn't necessarily mean it'll work well! I think the biggest problem you'll encounter would be getting the Vax tool to fit the Dyson...
