The question arose how best to implement such a UI , initially the screen looks like this:
When you click on the plus button should look like this: 
The first thing that comes to mind is to do the View , with pictures, which exhibit Visability Gone or Visible when you press a button. But maybe there are some other options, BottomSheet, for example. How to do it better?

BottomSheetis the only easy option for pushing content from below. There everything is set up. Manage visibility sharply. If you want an animation -BotfomSheet- Flippyanchorand the panel will rise with it. - Flippy