@Christina994
Christina, if an 'accident' happens on your property (within the boundaries of your insured space) the public liability section of your household insurance policy will cover you, provided your insurer accepts paid rental risks!
There are two potential issue here....
1/..... Many insurers will not extend their insurance coverage to paid rental guests and as soon as they find out that STR is taking place in their insured space they will cancel their cover!
2/.....Insurance coverage is only offered withing the perimeter of the insured space. What this means is a guest can injure themselves on a piece of your equipment on your property but if they, for example, take pushbikes that you may have offered out onto public property, roadways, parks there will be no insurance coverage. The same goes for trail bikes, kayaks, jetskis....anything that can be used in a public space!
And as @Matt786 mentioned, Damage Waivers will not stand up in a court of law. Unless you can provide professional certification it can be argued that the piece of equipment was not maintained in a fit state for use.
My strongest advice is, don't offer anything to guests that can be used outside the property, don't even allow them to take your dog for a walk! And make sure you have an insurance policy that covers what paying guests might do while they are on your property! Don't think just because you have a household policy that you are automatically covered.....you may not be!
And thirdly, do not expect that Airbnb are going to be your fairy god mother when something goes wrong. In some instances they may accept some form of responsibility but in many instances they don't. What Airbnb offers is a marketing tool, it is not an insurance policy, it is an adjudicated system and is open to individual interpretation! It does not necessarily cover a defined set of events.
Sorry I know that sounds bleak but, when responsibility come knocking most businesses will duck for cover!
Cheers........Rob