Powering 6 computers?

I need 15 wall sockets, currently my wall has 2. (so as i dont intend to burn my house down) Can anyone guide me on the materials i will need to purchase,
15 sockets i know.
But what cables? what else is needed?
My plan is buy the materials, put it mostly in place and hire a fully qualified electrician to do the actual hook up. (which im hoping will save me a small fortune.)

2015-12-06T02:36:40Z

What will be powered is all rated from 7amps to 13amps 240~ V (UK)
5 computer servers
1 main computer
2 screens
KVM switch
2 x network switches
broadband router
2 x 24 port hubs (dual isp redundancy etc)

2015-12-06T02:39:52Z

Forgot to add and a dishwasher, because she wont let me run the servers inside the house lol.

i kinda figure 1 big thick cable from the main supply to some kind of distribution board, then have the plug sockets wired into that, but havent a clue what to actually purchase. (lengths etc not important, as i can measure later, just trying to put it all in place so all the electrician needs to do is connect.

2015-12-06T02:48:31Z

All the sockets will be in one place, the feed will come direct from the main in power supply, But i dont know what cable could safely carry that kind of current.
In my mind its something like [ big thick cable ] -> [ Distribution thing] -> [individual sockets so 15 more cables from there] The sockets are all together on a fireproof board. (well they claim its fireproof, looks more like cement lol)

Jesk2015-12-06T02:39:03Z

you will also need several new circuits from the fuse box, because the current will be too much to just put the 15 wall sockets on same circuit as the 2 old ones, so there would need some wall putty to fill holes