I was never a fan of Harbor freight until recently. However their high end hand tools are pretty good. and they say they are lifetime garanteed. don't know if they stand by that, haven't tried yet
I bought their aluminium RV lift and two Al shorty jack stands. (Swaybar job) All worked well.
Adding/agreeing to the other posters recomendations:
1/4" drive socket set (six point if you can find one)
1/4 drive deep sockets (six point)
1/4 drive extensions (3", 10")
3/8 drive socket set (six point)
3/8 drive extensions (3", 10", 10" wobbly -not a universal, a wobbly end)
I tend to buy high end ratchets. they really work better than the ones that come with the kits
Torx set (HF has a nice 1/4 drive set that are about 2"+ long)
Combination wrenches (I like having two sets - one normal, one gear head)
As mentioned, electric drivers are damned handy. A 1/2 chuck will take the socket end of a 1/4 drive extension and the HF torx sockets. And get a hex to 1/4 drive adapter.
Low rider creeper (wheels up on the sides)
Roll around low stool
Best knee pads you can get (took me about three tries to find ones that work well - turned out to not be the expensive ones)
This stuff is cause I'm old. I don't like to crawl around on the floor any more.
I tend to get whatever tools it takes to make a job go easier (as long as I can afford it - can't justify a Buds readout yet

Having the right tool really makes jobs go easier. If I need a specific tool, rather than make do, and I can get it it local, I'll do it in a heart beat.
However, keep in mind my lovely bride considers me way past freakin nutz about buying tools (as well as many other issues)
Just a suggestion: Other than the basics, don't buy all at once. Rather, for every new job, add what you need for that job.
I don't know if it is true, but I highly suspect that being handy is about half having the right tools and suppress the fear. The other half is "ask, read, wrench". Oh yeah - get the manuals, so you are not guessing about how something comes apart. and all the videos, detailed instructions on here are amazing
Gear head philosophy per the worm