There are many health and safety rules when filming, using equipment, and just being overall careful.
1. Use a tripod when possible
Using a tripod is important, because the camera can often get too heavy to hold, and while the tripod is mainly used for keep shots steady, it's also safer to use a tripod, as long as it is out of the way of people and balanced correctly.
2. Do not have food or liquids around any equipment.
Besides the fact that the equipment is expensive, and food and liquids will most likely damage the equipment, having any fluids etc. around electronics is dangerous, and puts everyone around in danger of electrocution etc.
3. If you break equipment, you must pay for it.
The equipment is very expensive, and breaking it will cost. The cameras are typically around 1.5 thousand pounds, which is a lot of money in exchange for being careless which could have been avoiding by being a little bit more aware.
4. Always take a spare battery.
The last thing that someone who is filming wants, is to be right in the middle of an excellent shot, and then the battery goes dead and there is no alternative. Be sure to take a spare battery - better safe than sorry.
5. Put equipment away properly.
Lots of the equipment is heavy, and if it falls, it could seriously injure someone. When putting away the camera or tripod, be sure that the carrier and cases are zipped up and closed properly, so that it doesn't hurt someone who picks it up, thinking that nothing will fall out.