Hey Mark.
You might want to check these guys out.
https://www.pcspecialist.co.uk/ Built my rig 5 or so years ago. Great service. Phone em up and have a chat about what you want, They'll be glad to offer advice. Good ethos company. You can build your pc/laptop on the site. Careful now! Very easy to spend money this way. But they are good on service. I'd phone em up with a list of needs/stuff you require, take advantage of the advice and then look around based on price.
https://www.overclockers.co.uk/ Good choice but expensive.
Other ones to try are Dabs, Ebuyer, Aria, Novatech and AdvanceTec.
All depends what you want.
These days you should be able to get a cracking spec laptop for that price compared to 5 years ago.
(should still be able to play a lot of games too. *winks. Maybe not at full spec but dont give up on it.)
I sill admin (vaguely ... I dont really game so much anymore either), a gaming clan. I'll stick a thread up on there asking the tech geeks for advice. What would help is if you could list what you want it to do. Reason I ask, and I did read your post is that if you just want to you tube, sketchup etc but you dont want to do it all at once and you dont want to game you might well get away with spending less than £350. Memory? Cloud compute?
Let me know.
Cheers
Chris
Ps it might well be worth investing in a laptop 'bench' its basically a fan stand that increases air circulation for your laptop... googled generic type here for >
http://www.ebay.co.uk/itm/like/17187665 ... ue&ff13=80 Biggest failing in laptops is overheating.
Edit: Posted without seeing ROBobs post which also makes a lot of sense. And Just so you know BM101 is my old gaming name. BadMonkey. So, it's all the monkeys together lol. Just don't tell anyone lol.