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Hello,
I believe HAProxy will do what you want.
DigitalOcean has a nice tutorials on it: https://www.digitalocean.com/community/tutorials/an-introduction-to-haproxy-and-load-balancing-concepts
One from Medium: https://medium.com/@nirgn/load-balancing-applications-with-haproxy-and-docker-d719b7c5b231
Securing HAProxy with Lets Encrypt: https://www.digitalocean.com/community/tutorials/how-to-secure-haproxy-with-let-s-encrypt-on-ubuntu-14-04
You can also search for “HAProxy Docker” on DO for lots of other nice tutorials: https://www.digitalocean.com/community/tutorials?q=haproxy+docker
Feel free to reply back if you need further help!