Funnel-trap type delivery and/or retrieval devices for Inferior Vena Cava (IVC) filters or other medical implants are described in which the devices comprise two layers of braid with an axially support member. The support member may be interposed between braid layers or set inside the braid layers but interposed between heatset features. Delivery and/or retrieval devices, kits in which they are included, methods of use and methods of manufacture are all contemplated herein.