I don't think JAXX currently support EOS tokens (https://goo.gl/J88z4R).

Before I received my cold/hardware wallet, I transferred my EOS tokens from the exchange to my EXODUS wallet https://www.exodus.io/ which I downloaded and installed on my computer.

It's still risky, depending on how secure your computer is and whether it has malware or virus on it, especially if it's a Windows machine. Once you receive your hardware wallet, you can then send them to your new wallet's address directly from your EXODUS wallet.

You can find more info about the EXODUS wallet security here https://goo.gl/GW4sw7