Wordpress sticky flyout

Hi, My client wants something pretty specific. Please see dev.techgardens.com/cyber-security/. There's a little floating button there:
She wants to replace it with a sticky flyout. So it would look something like SHIELD-ONLY.JPG, then if someone clicks on the shield, it would look like CLICKED-ON.JPG, attached.

An example of the flyout she gave is at: https://www.evolveip.net/  - the blue buttons on the right.

I haven't found a plugin that will give me that amount of design capability. Any ideas? Thanks.
Melody ScottAsked:
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Melody ScottAuthor Commented:
I ended up using the floatton plugin. It's not exactly what we want, but it's good enough.
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