Vessel is the best value in high-quality screwdrivers. I can say that without even knowing exactly what style or usage case you have in mind (e.g. whether for beating-on in mechanics applications, working on electronics or turning woodscrews). No reason you couldn't pass them down, provided you don't wear them out (and I'm not suggesting they wear easily).
Lots of handle variety too. I think you owe it to yourself to buy the inexpensive multi-bit balldriver just so you can experience Vessel for yourself and then decide if you want a complete set.
Bahco, Irazola, Williams Techno+ screwdrivers are amongst the best-of-the-best for mechanic work. The ones that look like the image below. They're sold under a few brands. They have the hole for use T-handle style, the hex bolster for wrench use, long shanks, extremely durable and precise tips - and they're a bit unusual and weird, which might make them something worth sharing.
I don't know that anyone makes a more durable tip than PB Swiss. If you want the greatest possibly certainty of not wearing them out, then that's a great option - just bear in mind they're often 3x the price or more of Vessel and maybe 15% more durable (and that's what makes Vessel great value).
However, if you need a set of flatblades, PB Swiss's parallel version is peerless (well ok, Grace is also an option - but the handles are much more old-school):
Willams and Tekton are also in the running. Williams makes a screwdriver that's akin to the older style Snap On. Tekton is MiUSA, high quality and available in large sets for reasonable money.
Wera and Felo are great too. Felo is probably my favorite handle shape. Wera either works for you or doesn't (I'm not a huge fan), but their laser tips and the concave surfaces on their hex-plus (and square drive) screwdrivers add utility nobody else matches.
I feel like the problem isn't that your question doesn't have an answer - it's that it has a whole bunch of great answers.