I have had a few toner probe/generator combo kits in my time.
I will throw my lot in with the Klein scout pro, just make sure to get the PoE version and cover all your bases. When I got mine I didn't know there was a PoE one and have been kicking myself since. Great little tester that I have had no problems with.
However the toner wand that comes with many of the kits, the Klein pro probe tracing tool I've never been able to trust. the buttons are too pronounced and more than once I've found it on in my bag when it shouldn't be or dead. The batteries corroded within maybe 3 months of being in my bag and I have had to clean the entire compartment out with baking soda twice. The end of the tone probe doesn't screw in with threads it's a twist lock, which it seems to twists itself loose.
Greenlee used to make a toner/tonerwand kit for their Greenlee 500xp series that is what is on my toolbelt. Both are 9v and work every time I use them, never had an issue. Sadly it looks like they have been discontinued, because the kit used to be a little cheaper than the fluke kit.
Fluke Pro3000 Toner and wand : If you need a toner and toner probe this is probably the best bang for your buck you are going to get. Great deal on a combo set. When I worked as technician we either got issued these or the greenlee's and they both stood up very well, If I had to buy one set today it would be this one.
Call me old fashioned but I prefer a set of Electrician Snips. They will cut anything you need them to (and many things you shouldn't) as well as have strippers on one of the blades for 19 and 23 gauge wire.
For Tone gen, Fluke makes the gold standard. They also have a cheaper version. You didn't mention a probe, so maybe you are looking for a cable certifier?. That's super expensive though. if you just have to test that there is continuity and not certify the cables, you can use this, or this if you want to look like a pro.
As for Screwdrivers, Wiha makes the best screw drivers, hands down. I have this set for working on electronics & laptop repair. Magnetic tool-kits are fine. This isn't the 80's anymore. There aren't too many magnetically sensitive items inside a computer anymore. especially with the advent of SSD drives.
As for a toolbox, depending the work, I prefer a tool bag or pouch.
Good luck, hope that helps. What helped for me when I started was to go to harbor freight and just get an assortment of tools. As I worked I slowly replaced the stuff I used all the time with quality gear, and didn't have to burn myself buying expensive tools and gear that I would never use.
This is exactly what I use on jobs. It's just a toner. You can get testers cheap and just have a separate device for that.
The number one most useful troubleshooting tool is a good toner/wand. What you have… works, but definitely get 1-2 good ones as spares, or to tone multiple lines/pairs at once. Kinda partial to Flukes, they really are worth the price premium: Fluke Networks 26000900 Pro3000 Tone Generator and Probe Kit with SmartTone Technology https://www.amazon.com/dp/B000FTADX0/ref=cm_sw_r_awdo_navT_a_NBXZW51WNVF0FADZCS4D?psc=1
Second most important would be an actual cable tester. This kit seems kinda junky at first glance, but is the best value choice… and since you’re almost certainly eventually going to bust a tester, might as well be the cheap one (these go up to basically whatever you want to spend): Klein Tools VDV501-851 Cable Tester Kit with Scout Pro 3 for Ethernet/Data, Coax/Video and Phone Cables, 5 Locator Remotes https://www.amazon.com/dp/B085LPN71C/ref=cm_sw_r_awdo_navT_a_8DE5CCYT6EB7R7ZVXYVK
The Klein covers just about all the major desired features, and can act as another tone generator (though it sucks at that). Continuity, flipped pairs, opens and shorts, PoE and I think shielding detection, and distance to faults… it’s not at a level where it could act as a true cable certifier, but for troubleshooting, I wouldn’t kick one of these off the truck.
From there, it’s a lot of personal preference stuff, but pretty much everyone needs something like the two above.
A cable toner would probably be helpful for when your contractor forgets to label anything. You can probably find a better deal than that one though
I’ve used the Fluke Toner for ten years now and it’s been reliable for what I need. You can also use it with the DSX to create a stronger tone generator, if you want to go that route.