Nach Start von FF soll sich der Fokus/Cursor im Suchfeld der Symbolleiste befinden.

(function () {
    function focusSearchBar() {
        let searchBar = document.getElementById("searchbar");
        if (searchBar) {
            searchBar.focus();
        }
    }

    if (document.readyState === "complete") {
        focusSearchBar();
    } else {
        window.addEventListener("load", focusSearchBar, { once: true });
    }
})();

/* Suchfeld leeren nach 10 Sekunden */
/* Author @aborix */

setTimeout(function() {
	    if (location.href !== "chrome://browser/content/browser.xhtml") return;
   if (!window.searchbar)
      return;
   /* var searchbar = BrowserSearch.searchBar; */
   var searchbar = document.getElementById("searchbar");
   if (!searchbar)
      return;
   var textbox = searchbar.textbox;
   var tId;
   textbox.addEventListener('input', function() {
      clearTimeout(tId);
      tId = setTimeout(function() {
         textbox.value = '';
         document.getElementById('PopupSearchAutoComplete').hidePopup();
      }, 10000);
   });
}, 0);


/* Suchfeld sofort leeren nach Start der Suche */
/* Author @aborix */
/* Angepasst wieder durch Sören und milupo*/
/*https://www.camp-firefox.de/forum/thema/135558-skript-f%C3%BCr-suchfeld-leeren-nach-start-der-suche/?postID=1212807#post1212807 */

//https://www.camp-firefox.de/forum/thema/136363-offenbar-funktionieren-alle-benutzerskripte-nicht-mehr-im-nightly/?postID=1227649#post1227649

/* Suchfeld automatisch leeren */

    (function() {
		    if (location.href !== "chrome://browser/content/browser.xhtml") return;
    const lazy = {};

    ChromeUtils.defineESModuleGetters(lazy, {   
    FormHistory: "resource://gre/modules/FormHistory.sys.mjs",
    });

    var searchbar = document.getElementById("searchbar");
    
    searchbar.doSearch = function(aData, aWhere, aEngine, aParams, aOneOff) {
    let textBox = this._textbox;


      if (aData && !PrivateBrowsingUtils.isWindowPrivate(window) && lazy.FormHistory.enabled) {
        lazy.FormHistory.update({
            op: "bump",
            fieldname: textBox.getAttribute("autocompletesearchparam"),
            value: aData,
        }, {
            handleError(aError) {
              Cu.reportError("Saving search to form history failed: " + aError.message);
            },
        });
      }


      let engine = aEngine || this.currentEngine;
      let submission = engine.getSubmission(aData, null, "searchbar");
      let telemetrySearchDetails = this.telemetrySearchDetails;
      this.telemetrySearchDetails = null;
      if (telemetrySearchDetails && telemetrySearchDetails.index == -1) {
        telemetrySearchDetails = null;
      }


      const details = {
        isOneOff: aOneOff,
        isSuggestion: (!aOneOff && telemetrySearchDetails),
        selection: telemetrySearchDetails,
      };
     // BrowserSearch.recordSearchInTelemetry(engine, "searchbar", details);


      let params = {
        postData: submission.postData,
      };
      if (aParams) {
        for (let key in aParams) {
          params[key] = aParams[key];
        }
      }
      openTrustedLinkIn(submission.uri.spec, "tab", params);


      this.value = '';
          
      this.currentEngine = this.engines ? this.engines[0] : this._engines[0];
    };

    }());

//Suchfeld automatisch leeren
//Autor @BrokenHeart
//https://www.camp-firefox.de/forum/thema/140164-suchfeld-hellblau-und-leert-sich-nicht-mehr-scriptfehler/?postID=1284188#post1284188

(function() {
	if (!window.gBrowser)
		return;

	//Settings ---->
	const waitingToClear = 4000; //Zeitangabe für Löschen der Eingabe: [Wert] in ms oder [0] kein automisches Löschen. 
	//<--- Settings

	function clearSearchbar() {
		let searchbar = document.getElementById('searchbar-new');
	
		if(searchbar) {
			let textbox = searchbar.inputField;
			textbox.addEventListener("keydown", function(event) {
				if( event.key == "Enter" ) {
					setTimeout( function() {
						textbox.value = '';         
					},500);
				}
			});
			
			var idTimeOut;
			if(waitingToClear > 0) {
				textbox.addEventListener('input', function() {
					
					let urlbarGoButton = document.querySelector("#searchbar-new .urlbar-go-button");
					
					if(urlbarGoButton) {
						urlbarGoButton.hidden = false;
					}
					
					clearTimeout(idTimeOut);
					idTimeOut = setTimeout(function() {
						textbox.value = '';
						textbox.dispatchEvent(new KeyboardEvent("keydown", { bubbles: true, cancelable: true, keyCode: 27, code: "Escape" })); 
						setTimeout( function() {
							textbox.dispatchEvent(new KeyboardEvent("keydown", { bubbles: true, cancelable: true, keyCode: 27, code: "Escape" })); 
							if(urlbarGoButton) {
								urlbarGoButton.hidden = true;
							}
						},100);
					},waitingToClear);
				});
			}
		}
	}
	setTimeout(clearSearchbar,1000); 
})();