Planning a trip to Switzerland. Need advice

Hello Radhika, and welcome to the forum. Pilatus and Titlis can easily be reached from Lucerne. A Golden Pass train is available between Lucerne and Interlaken. You can travel this route by regular trains, which don't need seat reservations, or by a Golden Pass Panoramic train that does require seat reservation. Please use the timetable and the seat reservation page to plan and prepare for your trips. Browsing this forum and visiting the Bernese Oberland day trip overview will provide you with further tips.

If you'll be traveling by train, you should definitely consider buying a rail pass to save on traveling costs. You could look into the 4 day Swiss Pass (if you prefer free traveling), the Swiss Flexi Pass or the Swiss Half Fare Card.

Whether a hotel or an apartment is better, really depends on your preferences. Apartments can be cheaper indeed and they're a fine solution if you don't mind cooking your own meals. Do note though that Engelberg isn't located centrally. It's close to the Titlis, but traveling to other towns and viewing points would require quite some traveling time each day. Moreover, your hotel may charge you for cancelling your booking. You may want to take a look at our apartment overview and hotels in Lucerne and Interlaken in order to make a good decision.