Does TS2 come with a delete face tool? I know later versions did. Right click the cone to bring up the vertex edit tool and see if there is one. Failing that use the paint face tool to give the caps a different material colour. Then when you bring the model into Poser you can set that material to have 100% transparency. A further option would be to use the grouping tool to select the base colour and spawn a prop. This would give you the cone without the caps.

Considering the bed. In TS use the paint object tool to give a different material colour to each element. Then in Poser you will be able to apply a different texture to each one.

We have not covered UV Mapping here so its probably worth you taking a visit to www.uvmapper.com to pick up the free light version of the program and look through the excellent tutorials there.

Hope that helps.