refactor: improve router type safety and usage

- Add explicit Router type imports across views
- Replace $router type casting with proper typing
- Use $router.back() instead of $router.go(-1) for consistency
- Add proper route and router typings to components
- Clean up router navigation methods
- Fix router push/back method calls

This commit improves type safety and consistency in router usage across
the application's view components.

src/components/FeedFilters.vue

@@ -98,7 +98,7 @@ import {
   LRectangle,
   LTileLayer,
 } from "@vue-leaflet/vue-leaflet";
-
+import { Router } from "vue-router";
 import { MASTER_SETTINGS_KEY } from "../db/tables/settings";
 import { db, retrieveSettingsForActiveAccount } from "../db/index";
 
@@ -111,6 +111,7 @@ import { db, retrieveSettingsForActiveAccount } from "../db/index";
   },
 })
 export default class FeedFilters extends Vue {
+  $router!: Router;
   onCloseIfChanged = () => {};
   hasSearchBox = false;
   hasVisibleDid = false;