The likes of Maplins and DIY shops usually sell a psuedo dremel looking thing, normally in a presentable case and 50 million attachments. I picked one up in Maplins for about £18 I believe, they were offering them for ages mind.
Will also say some people have bought very cheap ones for doing lots of dremel-type stuff, and found they overheat, so u might want to consider the quality of the tool vS the job(s) u wanna do.