Small bathroom pushfit piping and fittings

[Derekbirmingham]

Hello people im derek from a council estate in birmingham.
Im refurbing my house upstairs and small bathroom.also im refurbing back bedroom for my older brother and putting an argos athena kitchen sink in there.
I do roofing and used to be a sparky,and im quite good at decorating self taught.
Never done plumbing.
My question is from there photos of my bathroom im (paron the mess) stripping it all out including the hideous massive sink on cast iron massive brackets,and putting in a small corner sink.new bath and the other side of the bath wall plumbing for a kitchen sink unit in my brothers new bedroom.strip out the old piping and replace with pushfit fittings and plastic pipe and plastic pipe brackets.
Should i be able to do this easily or is there anything i should watch out for.
Thanks for any help and looking at my hideous 50s xcouncil house bathroom.

 

[CBW]

Watch out for crossing over the pipes, creating undue warming of the pipes, asbestos. Make sure your clipping distances are in order (iirc 300mm for 15mm). Make sure your flow rates are capable. Not sure why you’re installing a kitchen sink in a bedroom?

 

[Derekbirmingham]

Well my brothers having a fridge and microwave in room.so its kinda going to be a bedsit type deal.so im installing an argos athea sink unit..ideally id like a smaller 1 but thats the plan.

 

[Derekbirmingham]

Quick question.im stripping my bath out today and there are no cut off valves.im planning on switching water off and capping the hot and cold.what size end caps would i need for these please so i can amazon prime them.or could i just put the taps back on temporarilly

 

[CBW]

Looking at the photo, although not 100%, 15mm for one and 22mm for other, or just re-use taps for now.

 

[cdbe]

I would suggest you find out where your nearest Screwfix or Toolstation (generally cheaper but smaller range) are to pick up all your bits and pieces. They both have catalogues and often looking at these will help you figure out what you need. You can buy everything you need, and things you think you might need (as a diyer with plumbing it's often a case of just holding up a few fittings and seeing which will fit and work) and just return what's left over.
Not sure about the corner basin (unless you need the space to the left) - I'd consider a sink in a vanity unit to hide the pipework and give some storage space.
If you don't have one, consider fitting a shower (on the other end of the bath). I guess the toilet is in a separate room - quite a lot of work but most people remove the wall and combine them.