Reply To: Migrating to new computer

Character styles are contained in the files themselves, opening the files on the new computer would import them.

You can also use the Panels flyout menu to import styles from another document.

Best way to transfer them?

I’d package all the files to a Dropbox folder.

Wonderful script here https://www.kahrel.plus.com/indesign/batch_convert.html

Will scan a selection of folders/subfolders and you can choose to Package them all.

Even keep the same file structure.

Once you transfer to the cloud (dropbox, one drive, Adobe Cloud or whatever you use) you will then be able to install that same cloud storage on your new computer and once you log in your files should start syncing.