marshwatcher, propane tank care and safety is fairly basic. No significant worries, and most of the safety precautions are common sense.
First: regional dialects & differences. In some areas, they're called propane tanks, in other areas, they're called propane bottles; but they're the same thing. A standard BBQ tank (which is by far the most common size you'll see, and its the size that comes standard on an r-pod) is rated to hold 20 pounds of propane, which equates to (almost) 5 gallons; in some areas, people use pounds, in other areas, gallons.
The most vulnerable place on the tank (pretty much the only vulnerable area) is the valve. A hefty thwack with a sledge hammer or a fast moving, good sized rock has the potential to crack or knock off the valve. Of course, neither is very likely to happen; but, if it should happen, its very dangerous. Your tank does have a metal collar around the valve to protect it. But, for safety sake, when you mount your propane tank on your trailer, make sure that the opening of the collar faces toward the trailer (just in case a rock or other debris happens to kick up and hit the tank as you're travelling down the road). Also, make sure to use a cover on your tank to protect it from the elements.
As far as 'don't fill all the way'... there are some misconceptions and misunderstandings out there. Essentially, a propane tank must be no more than 80% filled; the remaining airspace is essential for expansion of the gas and to allow an expansion buffer when outside temperatures rise. Remember when I said that standard BBQ tanks are rated to hold 20 pounds / 5 gallons? Well, they can actually, potentially hold 25 pounds / 6 gallons; the 20 pounds / 5 gallons measure is 80% (yes, for those with a calculator, 80% of 6 is actually 4.8). A modern propane tank you'd buy today has a special safety valve (called an OPD) built-in that will only allow your tank to be filled to 80%; after that, it simply won't accept any more propane.
Refill vs exchange: tends to be a regional thing. In some places, its very difficult to find a propane refill station; this is generally because of the costs associated with safety equipment, insurance and staff training required to run a propane refill operation. A propane exchange is much cheaper to operate and generally requires little in the way of safety equipment, insurance or staff training. Either way, have a good look around and make sure that you feel comfortable dealing with the station. At a refil station, staff should be observing the rules and common sense (e.g. the filling equipment doesn't show signs of excessive wear, the area is fairly neat and free of debris, staff are wearing hefty gloves, weighing tanks before filling, inspecting expiry dates, NOT smoking). At an exchange, the tanks should be stored safely (upright, in a locked cage) and appear to be in good shape (a little rust is ok).
As far as gauges, they're simply not worth the effort. For the most part, they all read full until you're down to the last few minutes at which point they read empty. However, if you feel that you must, you might consider a see-thru composite tank (you can actually see the propane level), or you could consider a Manchester SureFlame tank (which has a built-in float gauge and does accurately report the gas level). But, I suggest using techntrek's advice and either weigh the tank (with a fish scale, for example) or use the hot water method.
Finally, propane tanks have a limited life. There is a date code stamped on the collar, and filling stations are required by law to not fill after a tank is 10 years old.