You can set up access to your email accounts using the email apps provided on your additional devices. If you continue to use IMAP, as you have with Thunderbird on your desktop each of the devices will list and display the same emails. You can work with them simultaneously and reading a message on one will show it as read on the others. Similarly deleting it on one will delete it from the others.
The settings you need in the respective device apps, for usernames and passwords, incoming and outgoing server names, etc are exactly the same as those you've set up in Thunderbird.