Car parking in Lucerne

Hi,

I have some friends coming over and I'd like to take them to the Rigi. I would ideally like to make this a round trip with the ship from Lucerne to Vitznau or Weggis, up the Rigi, a bit of time at the top and then back down either via Arth or back the way we came. As this is a biggish group, they probably won't like the idea of doing the whole trip from Zurich by train so I was thinking they could drive there in their own car. I realise there is a car park for the Rigi railway in Arth but it would be nice to start the trip with the boat as at the end they might be too tired to appreciate it. So ideally I'd like to catch the boat from Lucerne and go up via Weggis and back via Vitznau or vice-versa (probablz avoiding Arth altogether). This would however entail parking in Lucerne in a place that is not too far from the boat quay. Are there any car parks there and how much would it cost to park the ca there all day on a weekday?

You can park at the Luzerner Badi for CHF 5 per day and catch the boat from there.

The Luzern train station/KKL parking is near the boat docks as well. Probably costs a bit more than 5 per day though.