I want to look into some disability insurance, but not sure where to begin?

I basically just want to ensure my family is supported if anything happened to me, but I have no idea what to expect for costs nor where to look.
I have life insurance with AAA, so I assume they also offer disability insurance? Can anyone offer some advice?
Thanks.

Make Sure that Your Car Insurance Company Gets Honored

However, since car insurance policies can be very complicated, you may not even be covered by your policy if something happens to your car. If your car’s wheels get destroyed and the wheels are not covered by your cheap auto insurance policy, then the car insurance company will have nothing to do with your repair [...]