You can move one of your websites or funnels to either an existing OR a new project within your account by clicking on the "My Sites & Funnels" button in the top-left corner of the platform:
Click the Gear Icon on the Website or Funnel you wish to move and select "Move to another project" option.
Then you have the option to create a new project with this website or funnel, or you can select an existing project within your account to move it to.
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.