I was like: "it should be Ctrl+Shift+H, of course, right?"

So different tastes :-)

What you describe later is "Auto-populate the find dialog with current text under cursor". VSCode has a setting for that; I guess Zed will eventually end upnadeing one too.

They have presets from other IDEs and editors. I use a weird combination of Jetbrains and helix shortcuts with helix mode. Because I used them the most.