feat(ux): implement UX audit recommendations

- Redesign landing page with unified Omnibox search

- Add ComparisonToast for better comparison flow visibility

- Add visual 'Added' state to SchoolCard

- Add info tooltips to educational metrics

- Optimize mobile map view with Bottom Sheet

- Standardize distance display to miles

nextjs-app/components/ComparisonToast.module.css

@@ -0,0 +1,113 @@
+.toastContainer {
+  position: fixed;
+  bottom: 2rem;
+  left: 50%;
+  transform: translateX(-50%);
+  z-index: 2000;
+  animation: slideUp 0.3s cubic-bezier(0.16, 1, 0.3, 1) forwards;
+}
+
+@keyframes slideUp {
+  from {
+    transform: translate(-50%, 150%);
+    opacity: 0;
+  }
+  to {
+    transform: translate(-50%, 0);
+    opacity: 1;
+  }
+}
+
+.toastContent {
+  display: flex;
+  align-items: center;
+  gap: 1.5rem;
+  padding: 0.75rem 1rem 0.75rem 1.25rem;
+  background: var(--bg-accent, #1a1612);
+  color: var(--text-inverse, #faf7f2);
+  border-radius: 50px;
+  box-shadow: 0 10px 30px rgba(26, 22, 18, 0.3);
+  border: 1px solid rgba(255, 255, 255, 0.1);
+}
+
+.toastInfo {
+  display: flex;
+  align-items: center;
+  gap: 0.75rem;
+}
+
+.toastBadge {
+  display: flex;
+  align-items: center;
+  justify-content: center;
+  width: 28px;
+  height: 28px;
+  background: var(--accent-coral, #e07256);
+  color: white;
+  border-radius: 50%;
+  font-weight: 700;
+  font-size: 0.9rem;
+}
+
+.toastText {
+  font-weight: 500;
+  font-size: 0.95rem;
+  white-space: nowrap;
+}
+
+.toastActions {
+  display: flex;
+  align-items: center;
+  gap: 0.75rem;
+}
+
+.btnClear {
+  background: transparent;
+  border: none;
+  color: rgba(250, 247, 242, 0.7);
+  font-size: 0.85rem;
+  font-weight: 500;
+  cursor: pointer;
+  padding: 0.5rem;
+  transition: color 0.2s ease;
+}
+
+.btnClear:hover {
+  color: var(--text-inverse, #faf7f2);
+}
+
+.btnCompare {
+  background: white;
+  color: var(--bg-accent, #1a1612);
+  padding: 0.6rem 1.25rem;
+  border-radius: 25px;
+  font-weight: 600;
+  font-size: 0.9rem;
+  text-decoration: none;
+  transition: transform 0.2s ease, background-color 0.2s ease;
+  white-space: nowrap;
+}
+
+.btnCompare:hover {
+  transform: translateY(-1px);
+  background: var(--bg-secondary, #f3ede4);
+}
+
+@media (max-width: 640px) {
+  .toastContainer {
+    bottom: 1.5rem;
+    width: calc(100% - 3rem);
+  }
+
+  .toastContent {
+    flex-direction: column;
+    gap: 1rem;
+    border-radius: 16px;
+    padding: 1.25rem;
+  }
+
+  .toastActions {
+    width: 100%;
+    justify-content: space-between;
+  }
+}