Wireless ATM, presents several interesting challenges such as managing an end-to-end ATM connection (using connection re-routing) and location management, handling high error rate performance of wireless links, maintaining the ATM cell sequence, and supporting quality of service (QoS) requirement. Recently, the design of re-routing schemes has received some consideration in the literature. However, most of these schemes do not address support for multi-connection and multicast handoffs that may be necessary for mobile multimedia computing. We discuss several rerouting schemes for wireless ATM networks and many issues including multiconnection and multicast connection handoffs and propose generic techniques that can be incorporated in rerouting schemes to support such handoffs. We also discuss how these can be incorporated in rerouting schemes such as RAC (Rearrange ATM Connection) and EAC (Extend ATM Connection).