A. If we thought of what could happen to us that day, we would never leave the house.
B. LLC - limited liability corporation. Whatever happens, they cannot hold you personally liable, only the company.
C. People can and do often sign away their rights on contracts. Or they could choose not to contract you.
D. Of course get a lawyer. We all make jokes about them, but they do have their purpose.
A Quite possibly.
B. Completely untrue.
C. True, and absolutely true, but if you do some research, you will find that the courts frequently fail to uphold contracts where the client is asked to agree to unspecified perils or to accept negligent behaviour.
D. Unfortunately, true.
First and foremost: I am not a lawyer, I do not play one on television and I've stayed at a Holiday Inn Express, HOWEVER... I have done my research, and I have had consultations with and advice from lawyers both in general practice and those specializing in contract and IP law.
People frequently incorrectly assume that because they've got a clause in their contract which states they are not liable for <situation> they are immune from litigation. You can be sued by anyone for anything, and while it's reasonable for a company which conducts an inherently and overtly dangerous business such as skydiving or bungee jumping to disclaim liability for client injury even they are not going to be protected by that if it is demonstrated that they failed to take reasonable precautions, ensure their equipment was in good order, etc. In a situation which should be inherently safe, such as having a photographer take pictures of your children, I think it rather unlikely that the courts would uphold an injury waiver when little Jimmy tripped over a cable you forgot to tape down [negligence] and injured himself because he pulled a light stand down on his head.
As Gryph indicated above, a bond is of very limited benefit because it only covers a specific, pre-determined circumstance(s). Insurance, both for equipment loss and liability is the only sensible course. I pay $750 a year for mine, and have done for many years. I have never made a claim against it, but I pay it happily each year because I know if something bad does happen, I have some support. By all means, give it a try your way and let me know how it works out.