One of the toughest things you will face is finding out where the "line of demarcation" is for your condo. Meaning, from what specific point in the construction of the condo does liability end for the HOA's Master Policy and where your insurance starts. For example, I have had instances where exterior walls are under the HOA, but interior walls are the condo owner. In other cases, it has started at the interior face of the drywall. You should know where this "line in the sand" is.
Also if you're thinking along the lines of condo insurance, also consider getting earthquake insurance. If your complex is on the large side, they will most likely already have a master earthquake policy as well to build the complex back up in the case of an earthquake. But again it will not cover anything besides the very basic, which are essentially the walls of the unit. You will still be required to pay for the replacement of cabinets, fixtures, etc., and in earthquake cases your condo insurance will not cover the expenses to replace or rebuild anything. You will be required to have earthquake insurance in order to cover that damage. Just as a forewarning, earthquake insurance is pretty expensive and doesn't cover a whole, whole lot when it comes to rebuilding.