I used this method:
http://wiki.tinycorelinux.com/tiki-index.php?page=Integrating_extensionsWith this method, if you have appropriate extensions on the CD, you can:
1. Run Tiny Core with programs from the CD. For those who just want to run Tiny Core from the CD.
Install Tiny Core on the hard drive
2. Partition the hard drive.
3. Copy Tiny Core from the CD to the hard drive.
4. Copy the tce directory and extensions from the CD to the hard drive.
5. Set up Grub.
6. Set up the MBR.
Install Tiny Core on a USB drive.
7. Install Tiny Core on a USB drive, using the USB Installation tool.
8. Copy the tce directory and extensions from the CD to the USB drive.
This method is relatively easy for new users.
While running from the CD, you can't have a tce directory on the hard drive, and use the appbrowser to download additional extensions.
However, after installing Tiny Core on the hard drive, or USB drive, you can run the computer from the hard drive, or USB drive, and use the appbrowser to download additional extensions.