Unable to migrate photos and videos from Time Capsule to external drive

My old Mac died. I want to retrieve the photos and videos ONLY from the back up time capsule (Model A1409 2TB). I could use Migration Assistant but I don't have 2TB of space on my MacBook Pro so I bought an 8TB external hard disk (Seagate One Touch). I can't work out how to migrate the content from the time capsule to the 8TB drive (reformatted for Mac OS Extended) and be able to open it (presumably because time capsule privacy settings I can't open it after its transferred, even though I know the password from the dead Mac). But when I type in the password with migration assistant it can't complete the job because the file is too large for my computer. Help?