I'm surprised that BES are supplying that kit. Screwfix not so surprised. Those self cutting taps can be bad news as the cut piece invariably restricts the supply pipe, and the bit of hose, well, I'd stay away. Ideally you want a plumber in to do this, gets it done and out the way.
If you are determined and with limited tools then what you need is -
A pair of these
and one of these
Then one each of these -
http://www.screwfix.com/p/equal-tee-15mm-pack-of-2/95632
http://www.screwfix.com/p/15mm-double-check-valve/96336
http://www.screwfix.com/p/hose-union-back-plate-mm/56415
http://www.screwfix.com/p/15mm-isolating-valve-pack-of-2/65251
http://www.screwfix.com/p/15mm-x-outside-tap-with-hose-union/41948
Pipe slice/cutter, a piece of 15mm pipe and some PTFE Tape/Thread Loc/rubber washer for the wall plate .
Where it is to be piped is difficult to advise as we don't know where the piped wall plate will punch trough the wall for the outside tap location and you're pushed for space in there. Really the waste pipes would need to come out to give access. The oder of fitting would be > Shut off the water > Tee off the supply pipe > piece of pipe > then the isolation valve > piece of pipe > then the double check valve > piece of pipe > possibly a compression elbow> onto the piped wall plate > run water to clean out pipe > attach bib tap.
In winter if it's going to freeze, isolate tap and leave open
If you are determined and with limited tools then what you need is -
A pair of these
Then one each of these -
http://www.screwfix.com/p/equal-tee-15mm-pack-of-2/95632
http://www.screwfix.com/p/15mm-double-check-valve/96336
http://www.screwfix.com/p/hose-union-back-plate-mm/56415
http://www.screwfix.com/p/15mm-isolating-valve-pack-of-2/65251
http://www.screwfix.com/p/15mm-x-outside-tap-with-hose-union/41948
Pipe slice/cutter, a piece of 15mm pipe and some PTFE Tape/Thread Loc/rubber washer for the wall plate .
Where it is to be piped is difficult to advise as we don't know where the piped wall plate will punch trough the wall for the outside tap location and you're pushed for space in there. Really the waste pipes would need to come out to give access. The oder of fitting would be > Shut off the water > Tee off the supply pipe > piece of pipe > then the isolation valve > piece of pipe > then the double check valve > piece of pipe > possibly a compression elbow> onto the piped wall plate > run water to clean out pipe > attach bib tap.
In winter if it's going to freeze, isolate tap and leave open