can I transfer all my property so that my children won't have to pay any bills (nursing home, cremation, etc)

Medicaid is paid by your fellow tax payers out of the general tax revenues.  That is why you cannot simply transfer all your property to your children and expect strangers to pay for your care.  Anything transferred for less than fair market value in the 60 months before you apply will delay the time before Medicaid will pay, perhaps by years.  You can, however, enter into an irrevocable prepaid funeral polcy to pay for your cremation.  Please note that your children are not responsible for your bills -- but you are.