Oscar - did you not read the documents explaining the concept of cable zones?
You don't show any corners on the diagram, so maybe they are there, but regarding the above as a flat wall you cannot remove the sockets and leave the cables in place as they will no longer be in a zone.
What item would i be able to buy in an electric supplier that would be suffix for me to join the cable together and mount that in the valley i am chiselling away at in the wall?
You'd need to use crimps, as a screwed joint needs to be accessible. There are some proprietary push-fit connector blocks on the market, but the jury is out on whether they comply with the requirements for joints which can be rendered inaccessible....
In terms of a tool for crimping you'll need one of these:
not one of these:
Looking at the links you have sent me i have to house the cable in a mettalic housing and this needs to be earthed! What does this mean in idiots term. Is it a metal box?
If you want to run cables out of zone by using metal conduit then this is the sort of thing you're looking at (pics courtesy of RF Lighting)
if so were would i get one of these??
Any electrical wholesaler will have conduit and bushes etc, as well as the stock & die tools and cutting compound that you'll need to cut threads on the ends. If you need bends in the conduit you'd probably be better off buying them as fittings rather than hiring a bending machine and learning how to use it.
But you face the problem of how will you build a conduit system around installed cabling? You're going to have to chase the walls out anyway, so why not just remove and re-route the cables so that you don't need conduit, junction boxes etc?
Another point to consider is that horizontal chases can't be more than ¹/
6 the depth of the wall, and conduit needs deeper ones than just cable.
As you can probably tell i am trying to do this as cheapily as possible,
Fair enough, but "as possible" may not be much like "as I was expecting".
How much do you think it would cost me for an electrician to lay the cable in the wall for me, and certify his work. If i made the valley and did all the plastering etc.
You need to get electricians in to quote.
And if this work is in a kitchen it's notifiable, so another good reason to use an electrician....