Flare you fool! Unless the rules have changed in the last couple of months you do need a BFR even if your original licence is current. Many FBOs in the US are not aware of this, but it is the case (Have spoken to the FAA). Failure to complete a BFR will (I suspect) be used as an excuse by the insurance company should anything go wrong. As far as I remember a BFR needs to consist of at least 1 hours ground tuition/refresher and a 1 hour flight. As anyone renting will need a checkout anyway its not that big a deal.
Ian
PS Make sure the instructor signs your log book and writes it up as a BFR