I'll be arriving in Zurich around 2pm on a Saturday and am staying at Leonardo Boutique Rigihof Hotel (Universitätstrasse 101, Zurich, Switzerland). We plan to go straight to the hotel to drop off our bags then leave right away to explore Zurich.
1. On google maps, I see a bus station about 400 feet south from the hotel - can I use this (read: any bus station) to take me downtown to explore?
2. When I get downtown, can I just wander about or is it best to have a "plan"? We really just want to see the town, lake, cute shops and restaurants, or any other special sights (not planning on doing museums).
3. Can I hop back on any bus to the same bus stop as I departed from ? (Not sure how public transport works in Zurich)
4. I'll be traveling to Lucerne early the next morning, maybe at 7 or 8 am. Should I pre book our train tickets or just arrive 30 or so minutes early and buy at the station? Any things to know about traveling with a larger suitcase?