Oh cracking advise here Adam!
I agree with the advance socket sets from Halfords, They are pretty good quality and yep they change them if you bust them, I bust a 3/8" drive 7mm hex socket and took it in.... no problem sir! The price is good when you consider what you are getting and they can't help having sales from time to time. For spanners and lots more, from experience I can recommend blue spot tools, beautifully finished and I have abused some of them way past what they should have tolerated! I still can't believe cost against quality!
Look on the Bay as suggested and you will find quality old tools in sets and more, Those old tools were only made as best quality and you can furnish yourself with a toolkit that money would struggle to buy nowadays. Snap-on are good but you're paying for the lifetime warranty and yes they do break!
Grease gun.... yes a Wanner! Swiss made and by far the best.. Again look on the bay and £25-30 should get you a good-un! pain in the bum to manually fill but use a tea spoon and it goes quite well. For a hand held it produces a huge pressure, try and get one with a flexi coupling as well, makes top pillar greasing much easier.
For your 22 psi ......I have an air line but I also have a good quality brass barrelled foot pump, I bought it in 1979 and the cost frightened me a bit but its still doing sterling service although a bit like Trigger's broom its had a couple if hoses and shraeder valve connectors. My son is 23 and he's had a couple of my old cheapies and a couple he's bought and a freebie when we joined him in the RAC.... none have lasted long!
Oh. and one last thing. When your searching the Bay get a 2BA spanner as well, you'll need it sooner than you think!