How do I search PDFs in Acrobat in Safari using command-f, without an extra buttom press? I like using Acrobat within Safari as a convenience. But when I try to search in a PDF with command-F, it first brings up the Safari search box, which steals the focus from Acrobat's own search box. This amounts of a lot of annoying extra clicks or button presses to search in PDFs from inside the browser. How can I short-circuit this behavior?

And if there's another in-browser PDF reader that avoids this problem (and is also free and is light/fast/safe), I'd take that as an answer as well.
You are oping the PDF files using the Safari PDF reader. 

You need the AdobePDFViewer.plugin to replace the Safari build in PDF reader. 

Here are the instructions how to do that.



Update:

Based on our discussion and your very specific needs here is a proposal.

Reassign the Safari default for "Find" keyboard short cut.

Open sys pref- keyboard - shortcuts.

Click on app shortcut

Select Safari

Type "Find..." (the 3 dots are important)

Select new short cut "shift + cmd + F"

Now when you use the "cmd -F" only Adobe search will show

When you use the shift- cmd -F the Safari search will show up.