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A bug out, is something to get you out of someplace and make it, so a good set of clothes (look up grayman to understand how to dress) a pocket knife, A map, a lensatic compass,, a throw-away phone and a headlamp/flashlight. A small hydration bladder that you can fit under your clothes and conceal easily, and a good pistol + IWB, These items will get you out of 99% of situations and to safer territory without drawing attention to yourself while getting out of dodge.
You have a cutting tool, water and a way to carry it, navigation tool + a compass that you can easily learn to use to get across town. forest/whatever quickly, A bic lighter in case you for some reason have to stop and need a way to keep warm (From building a fire and having a finite, yet plentiful for most situations source of instant fire. Zippos are big and flashy and may draw some ones attention). Headlamp gives you light in dark places. Guns there cause you're in a life or death situation, it might be a faster way out. These items are easy to acquire (In the US at least) can be carried by an every day person without question and most importantly of all, wont weigh you down while you extricate yourself to a safer location. They're all also incredibly inexpensive and as long as you know the area around you pretty well, you'd be set for not worrying about food or getting stingy with water when you don't need to be. A few energy bars in your pocket, some Imodium (Cause danger will make you empty your bowels) and a sharp wits will spare you from most scenarios...