Personally I'd hate to work in a place where it would be considered odd to take care of some private business during the day every once in a while. Stretching and leeway goes both ways.
Regardless, you're going to have to work twice as hard as most of the others in the room. It's easy to walk out the door at 5pm if your work is done. It's not so easy when a crunch is going on and you have an external commitment to make. Nobody likes to look up and see you putting your coat on, believe me.
If the CEO understands, it's one thing. If you have a CEO that says "you need to risk your marriage to make this company succeed" (and yes, I've actually heard this), then you know where you fit in. Unfortunately, you don't learn most of this until you're already in. If you find during interviews that the CEO has kids of his own, that's a good sign.
Would it be odd for a 20-something employee to leave in the middle of the day to get an oil change for his car, or get a dental cleaning, or have a repairman come to their house?
These are things that probably happen just as often for everyone on your team, regardless of age.