His fur problem may be due to stress, mites, etc. I also have many health problems and am coping with a new puppy! He's called Rufus and is 13 weeks. He went out for the 1st time yesterday, after his injections. He was scared, but enjoyed meeting other dogs and people. Can you get your puppy out and about? It might make it settle down a bit. Mine slept for ages after the excitement.
I also suggest buying some 'hide' chewies. I bought in bulk from ebay, from a firm I've used before and trust. They chew for a long time on these, if you need a bit of time to yourself.
I get most of my stuff from PetSupermarket.com They have a good range of treats and toys at reasonable prices.
Stick with it for a while longer. If I need to sit down, I can still throw his favourite squeaky toys from where I am, and he loves running about playing fetch. It tires him out after a bit and I can get on with stuff while he has a nap!