Hi Mark HT Mod,
So you and your family are going to Las Vegas in Sept! That's nice! Me and my husband has visited Vegas... I think it's 5 times and it's amazing city, nothing specially during the day but in the evening it really wakes up
And you are staying at Statosphere, we have never stayed at hotel but one thing you MUST do is in the evening take the elevator up in the tower and from there you will have a wonderful/amazing view over the whole Las Vegas, and if you like, you can ride a rollercoaster up there OUTSIDE the building....
Now to the safety advice, the Stratosphere is situtated in the north of "the strip" and it's not so far from "downtown" Las Vegas there you shouldn't be at night
and also during daytime....
I agree with luci HT Mod who is saying that walk around Stratosphere during the day is ok but at night you should take a cab if you are going south of "the strip". I don't want to scare you but you wanted som advice.
When we, my husband and I have visited we always has stayed at the south of "the strip" our favorit hotel is Mandalay Bay, wondeful hotel with a lovley poolarea!
The price is little higher but it's worth it. We have also stayed at Luxor, Excalibur and Monte Carlo all of them are good choices to, I would guess that Excalibur and Monte Carlo is the cheapest of they and Luxor is in the middle of them and Mandalay Bay.
So if you haven't booked the hotel yet, please go in and check the prices on these hotels. I can also recommend a hotel that I haven't stayed on but we met up a friend of my husband there in 2004 and it's also a good hotel, New York New York, it's also in the south of the strip.
I'm shure that you and your family will have a great time in Las Vegas! Here are few links that I hope will help you a little:
http://www.travelnevada.com/ Nevada visitor website
http://www.visitlasvegas.com/vegas/index.jsp One Vegas website
http://www.thehighwaystations.com/skin/feature.php?sectionId=216 A radiostation, you can listen live to it!
If you have more questions, please feel free to pm me!