I used to sell one of the big (made in China) name brands of tools. If you're close by to somewhere that'll take care of the warranty and the tools aren't going to be used professionally, most of the China made stuff is alright. They work for the average hobbyist. For automotive tools, you can usually get them all in one set. The sets that come in molded plastic cases with labeled spots for every socket are most convenient, and with the brands everyone's mentioned, you'll be safe if you just get a set in your budget. Be careful of them inflating the tool count by including dozens of screwdriver bits, but don't assume that makes it a bad set.
When it comes to around-the-home tools, find a box, bag, or tote (the open top ones are pretty popular and can be had for cheap) that's the right size for how many tools or how much you want to spend. Then fill that carrier with a hammer, measuring tape, level, pliers (needlenose and diagonal, maybe slip joint if you'll need them), screwdrivers (6- or 9-in-1's are great for light use), crescent wrenches, wire stripper (if there's any reason to expect electrical work), locking pliers, gloves, and a sturdy tape. That'll have you covered for most jobs. Beware of tool sets including all or most of the tools I just listed, as those are usually packaged for inexperienced buyers and either don't have a warranty or are made to much lower standards.
I don't have a lot of reason to invest in tools, so I have a very small bag that has three pliers, measuring tape, a 6-in-1 screwdriver, gorilla tape, and a medium sized crescent wrench. I'd say that's a bare minimum for around the house stuff. When it comes to power tools, a drill/driver and a dremel can really come in handy to complete the jack of all trades set.