My suggestion is quite simple.
If you pick a certain job, you should spawn or have items in your household that fit that specific job.
By example, if you're a Police Officer, it's understandable that you would most likely have a gun on you, or in your house, along with the keys for the police station's gun storage.
Baseball player? Baseball bat, duh!
Carpenter? Hammer, or nails.
Veteran? A pistol or hunting rifle.
Of course, some jobs would need to be tweaked such as the woodcutter, so people don't just spawn in with axes.
But overall, it's a nice detail and, I think, easy to add into the game.