how do I access the "up next" list on the appletv+ online?

We got the free AppleTV+ service when we got our new phone. We do not have an AppleTV, we will be watching online. I can add shows to the 'up next' list, but cannot access the list to watch the shows! How do I get to the list once it is populated?

Also, I would love to set up a separate list for the kids. Can someone tell me how to do that?

I have spent over an hour searching the website with no luck. It feels like they hid that section!

I'd be willing to download the AppleTV+ app to my laptop, but it does not seem to be an option as I do not have an apple laptop.

Thank you for any help.

Vickie