Your multi-tool isn't enough.
I'm quite certain a muli-tool like a Leatherman is in everyone's kit. They are certainly essential and save butts everyday but there's somethings they can't handle. Having a decent tool kit with you is important but we can't exactly drive the Snap-On truck to set and have all the tools you could ask for so having a compact solution is essential.
Last year I picked up this Precision screwdriver kit. You can find various forms of it under different brands but all essentially the same thing. The 62 bits cover a wide array from the standard Philips, slotted to more obscure like pentalobe (for use with Apple products) There's a few odd balls like a JIS, pozidriv and triangle and some nut drivers.