Quick tip: items you’re weilding don’t count towards your stored volume, so if you wield an item that’s freaking huge (e.g a rifle, chainsaw, sledgehammer etc) instead of something like a cheap lighter then you can squeeze a few more trinkets into your pockets.
Also, start out with the mechanic profession and it gets you a storage item (a belt rig) from the get-go.
Of course, the devs forgot to give the mechanic a pair of shoes, so go find a pair of nicely fitting sneakers pronto.