A PSK doesn't have to be bulky - I'd point to Doug's PSK and his new commercial PSK as classic examples of that point. Either of those fine kits are easily pocketable in a sport/suit coat front pocket or internal pocket.
The new commercial kit contains some great quality basics and is easily modifiable to meet your own personal needs assessment. IE ... It has room to readily accept a water bag and purification tabs, first aid supplies, or other small items you might wish to supplement it with.
In addition to a mini PSK, whether I'm in a tux or in shorts and a t-shirt, I usually have this gear (or reasonable substitutes) with me:

The keys and accoutrements get tucked into the waistband, the SAK gets tethered to a belt loop and rides next to my wallet, the bandanas and Space Pen go in another back pocket, the compass in a watch pocket, and the Mikro (fixed blade) and FireSteel disappears in a front pocket...
M