I agree on keeping business and personal separate - legally, financially, etc.
But your own personal credit history will come into play.
Try to pay it off as soon as you can, so that interest won't be much of a factor anyway. A revolving line of credit can be very useful, but it can also bite you in the ass if you're not careful.
I wouldn't worry about any "tricks" for trying to kick your score up. 720 is fine. If you get too caught up in trying to play the agencies' games, you'll end up wasting time and energy, needlessly worrying about small stuff, and probably doing things not in your best interest.
I used to buy everything on credit, pay low interest, and invest the money I would have paid for the purchase had I paid in cash. I've gotten away from that in the last 5 years - I pay for everything in cash - cars, homes, etc.
I only keep one credit card open, use it about once a month, and pay it off at the end of the month just to keep a credit history going and maintain a respectable score. I don't worry if it's 760 or 805 or higher or even lower. I don't care, as long as I don't owe anything and don't have any delinquencies.
I don't intend to ever borrow for business or personal stuff again, but you just never know what the future holds.