How can I transfer photos from an old Canon Rebel EOS 350D to my computer?

Try toggling the Communication setting. Some users report that Print/PTP works for them (confusingly, this is the setting that should be used in order to connect the camera directly to certain Canon printers). Others report that PC connection is the correct setting.

Press the Menu button to bring up the menus. Press the Jump button, or use ◀︎/▶ buttons, until the Set-up 2 menu (yellow, looks like wrench+hammer "2") is highlighted. Under Communication, try changing the option (it will be either Print/PTP or PC connection).

^{Taken from page 120 of the Canon EOS 250D User Manual}

If that doesn't work, you will need to use a CompactFlash card reader to get the photos off of the CF card and onto your computer. They can be had for as little at $10 USD at various retailers online.

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Sources

Note that because of the age of the camera (it was introduced in 2005), many of the support references are to older versions of Windows.

• User "Stigv"'s answer to Canon EOS 350D camera don´t connect to Windows 7 Professional at answers.microsoft.com.
• Unable to connect 350d with PC discussion at photography-on-the.net forums.
• Canon EOS 350D and Windows 7 x64 – Where are the Drivers, Canon? at helgeklein.com.

This camera uses Compact Flash (CF) cards. You can buy a decent multiple-format USB card reader which has CF support for under $20. You can even buy just-CF readers for less than that. This should Just Work, without any hassle. And, as a bonus, if you're planning to sell the camera, you can thrown in the reader so that your buyer doesn't have any hassle either.