P1, I've just looked at the one you mean on the PC World website. The next door neighbours have got an Advent PC which I set up and with which I saw no build quality problems so I imagine the laptops would be built to about the same quality. The spec of that laptop is pretty basic but perfectly adequate for your needs. Bear in mind that it's got built-in WiFi and a DVD-Rw drive as well... both bonuses, not all cheap laptops come with that.
I'd say for that spec, basic as it is, that's a pretty good price. You may, however, want to go into a store and look at one - I don't know how much you'll be moving it round but it looks a little chunky in that picture. Not judging either way, but you should have a look at one beforehand if at all possible, or at least Google it for reviews. Do have a shop around on the internet as well though... PC World are by no means a cheap place to shop. They do have some good deals, but you may find you can get that one even cheaper elsewhere.
One final thing, just as an aside - if you buy from PC World, do not - I repeat, do NOT - pay extra for the Norton Internet Security offer that you get as an option with it. It's an absolute pile of crap, and will absolutely drain your system's resources. When you get the laptop home, the first thing you should do is get on the internet and download AVG or Avast (virus protection), and ZoneAlarm (firewall), or use any other product you have experience and are happy with.