Whether you can terminate your lease because of property damage depends on the extent of the damage. Also, read your lease to see if it addresses disasters.
A rental property that is totally unusable for residential purposes is uninhabitable in its current condition.
Either you or your landlord may terminate the lease by giving written notice any time before repairs are completed. Try to negotiate a suspension or reduction of rent, but unless your lease allows this or you live in public housing, you can only get reduced rent when the landlord fails to make repairs you properly requested, and you sue your landlord. Public housing tenants can get reduced rent or available alternative housing if the housing authority can’t or doesn’t make repairs in a reasonable time.
Get any agreement in writing. If you terminate your lease, you are responsible only for pro-rated rent due up until the date you move. You will still owe any charges that accrued up to that point, including past-due rent.
Make a written, dated request for return of your security deposit with a forwarding address where it can be sent. If there is damage to the property not caused by the disaster and not normal wear and tear, your landlord can withhold some or all of your deposit. If your security deposit is withheld, your landlord must provide a written, itemized accounting of the repairs' cost.
If your utilities are separate from your lease, call the utility company to shut them off. Give a forwarding address for your utility deposit refund. You are responsible for utilities up to the date they are shut off.