Lucerne is a picturesque city nestled by Lake Lucerne and surrounded by the Swiss Alps, offering stunning natural beauty and a charming old town. It's perfect for active travelers who enjoy hiking, boating, and exploring historical sites like the Chapel Bridge and the Lion Monument. The city also offers unique cultural experiences and delicious Swiss cuisine, making it a great stop on your Switzerland itinerary.

Rome is a city bursting with history and vibrant culture, perfect for an active traveler like you. You can dive into non-regular activities such as cooking classes where you learn to make authentic Italian dishes, and explore the city beyond the usual tourist spots. The blend of ancient ruins, lively markets, and hidden gems offers a unique experience that goes beyond the typical sightseeing.

Munich is a vibrant city known for its Oktoberfest celebrations, historic architecture, and beer gardens. As you'll be there in early October, you can immerse yourself in the festive atmosphere of Oktoberfest, enjoy traditional Bavarian cuisine, and explore landmarks like the Marienplatz and Nymphenburg Palace. The city also offers plenty of active outdoor activities such as cycling and walking tours, perfect for an active traveler like you.