Unified Chat Application - Sheepchat - Free or Paid Steam Version.

Restream's chat will let you connect 2 accounts into a single chat frame:
https://restream.io/chat

If you are streaming to more than 2 platforms at once you can use this free program: https://sheep.chat/en/

Then under connections > services: Click the add button and fill out the settings.

Sheepchat is the best option as it has a nice game mode so you can overlay it on your gameplay for you.  Try the free version and if you want auto updates and more features buy it off steam.

For twitch include your the FULL URL: 

For Kick under channel use just the username and for channel name use the FULL URL again: