I understand you; I use all these different kinds of find, depending on need, and I'd like key presses for all of them;
Direction: find everything, find the next occurrence, find the previous occurrence.
Engine: find using regular expressions, find literal strings.
Location: find in current document, find in all documents, find in selection
Interactive: Yes or no. Does typing into the search box automatically highlight the next instance? (ctrl+f in firefix, ctrl+s in emacs)