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Here's a few working character builds:
Specializing in one or 2 gun types is the most straightforward way to do things. Your starting 9mm pistol is a relatively good weapon and come with a fair amount of ammunition.
You don't need Strength, and Agility is only relevant to some actions like lockpicking. Granted that combat skills are easy to increase and have only a small influence on your accuracy, you can spend your points on more practical skills like lockpicking which has synergy with your high Perception.
* Stats * Strength : 1 * Agility : 10 * Perception : 18 * Endurance : 15 * Charisma : 11 * Skill Set - Combat: Mix one short range weapon skill with a long range weapon skill. * Shotgun : 200 * Rifle : 200 * Stealth : 100 * Skill Set - Robber * Handgun : 100 * Lockpick : 300 * Stealth : 100
Melee is cheap, you can allocate a fair amount of skill point to Stealth. All you will need is a good combat knife. Don't forget to corner your target, otherwise you'll have to chase him. However don't expect to charge a shotgun equipped cop and be victorious.
* Stats * Strength : 17 * Agility : 14 * Perception : 5 * Endurance : 14 * Charisma : 5 * Skill Set - Pure Melee * Melee : 300 * Stealth : 200 * Skill Set - Robber * Lockpick : 400 * Stealth : 100
Thieves have good odds against safes and are decent pick-pockets, however they don't last very long during a combat. A high charisma allows them to get discounts in stores. When Pawn Shops will be improved it will also give a bonus when selling loot.
* Stats * Strength : 3 * Agility : 16 * Perception : 16 * Endurance : 6 * Charisma : 14 * Skills * Lockpick : 350 * Stealth : 150