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Starting at
level 15-17, you get jobs that pay you over $2,000,000 at a time as well as a good chunk of XP.
At this point, you will have also invested heavily in your properties, and that should begin paying you well.
At this point, very few people in your Fight tier should be preying on you just for money, so you should be able to keep money on hand without putting up an “Attack me repeatedly” sign.
Now you can wait until you have $1,000,000 and bank it all at once to get an achievement.
You can also start investing in some of the more profitable properties after you have made sure that your entire mafia has gear.
You can only get hit for $100,000 at most, and that quickly becomes pocket change.
You should still bank any extraneous extras, but by level 50, you should stop using the bank in New York for anything other than gaining achievements.