You can move a website or a funnel to an existing or a new project by going to the Funnels and Websites tab.
Go on top of the Funnel or Website with the mouse and click on the Gear button on the right and select "Move to another project" option.
Then you have the option to create a new project with this website or funnel, or to move it to an existing project.
Make sure you are the owner of both projects by checking the "Admins" tab in the Dashboard. Your account should appear with the label "Owner". If not, the transfer may not be possible.