You will need hazard insurance, liability, separate policies for wind (hurricane) and flood (if you are in a flood zone). You may also wish to get coverage for lost rental revenue, if you plan to rent the home when you're not there. For example, we are insured for up to $60K per year in lost rental revenue and it only costs an additional $36 per month. As for liability, we insure our Grayton home under the $1M umbrella policy on our primary residence and the cost is negligent. Wind insurance is offered primarily through Citizens at present, because most of the companies went out of business in FL after the 2005 storm season. A few small companies still offer it, but two quotes that we received were considerably higher than Citizens. Our wind insurance premium went UP by $4,700 last year and there is a 10% deductible. Flood insurance, on the other hand, is quite reasonable and has a $500 deductible. When we had some storm surge in the bottom floor from Ivan, the insurance check was in hand for full claim, before we even received the charges for same on our bank card. The adjustors were out there in two days from when contacted. We certainly heard a lot of horror stories from others, but had no problems.
Our insurance company is Benny Waterfield Associates in Destin and our very knowledgeable agent is William West. Wm. West was out on disability for some time last year, but is back and we have been very satisfied with him. He even came to our closing and explained every detail with great accuracy.
Good luck and choose carefully. With the industry in a state of flux in FL, it is critical that one is not hopping around from carrier to carrier.