Unless you are a pro mechanic stay away from Snap-on – total waste of your money.
Stay away from Part for anything other than bike-specific tools, as again, they are overpriced.
For ‘mechanical’ tools i’d recommend Halfords Pro – i’ve got loads of their stuff and it really is great, and comes with a lifetime warranty.
For hex keys Bondhus are pretty good.
Other Brands worth looking at are Teng, Britool, Bahco, Facom, King Dick, Knipex and Maun.
For woodwork/DIY Tools, Stanley are still worth a look.
To be honest, you could do worse than to buy branded stuff from Screwfix – they hold good stocks of Teng, etc and you’ll struggle to buy good brands much cheaper elsewhere.
I’d also recommend trawling a few boot sales for some old cold chisles and big screwdrivers you can bash with a hammer – much cheaper than buying new, and old stuff can be better quality.