I started out as a full timer with a substantial selection of hand tools and a bunch of misc hardware. I have hardly used any of it except for the usual pliers, adjustable wrench and screwdriver. That Amazon kit should be plenty.
Instead of tools, consider some supplies: rope/cord, bungies, an assortment of screws, nuts, bolts, etc, also electrical tape and duct tape, epoxy, wood glue, a roll of light weight wire, some electrical wire, command strips, etc. I bought a small canvas tool case at Lowe's and put in baggies with misc supplies of everything I could think of.
I guess they fall into a different category but bring some misc office supplies: scotch tape, envelops, stamps, lots of rubber bands.