<<"Is there a facility to store our luggage while spending time in luzern?">>
Check this link and follow the links on that page ( at the right). Use "Rail station services and opening hours"
That will get you to further pages for the 5 major stations, or, still further, to a list or map of other stations. For each station, look under the heading "Station and Services." "All services" gets you to a list which includes "luggage" for the luggage office; see note further below about that.
[ You can also get there directly from the main SBB website:
www.sbb.ch/en/home.htm l, under stations and services.]
Scroll down to Equipment and Mobility, then equipment and lockers.
For Luzern, you get:
Size W x H x D in cm Prices in CHF Number
small 24.8 x 42.0 x 75.0 6 147
medium 31.7 x 61.5 x 75.0 7 144
large 44.7 x 61.5 x 88.0 9 24
Prices in CHF
Total is 311 lockers.
There is also a left luggage office....typically found under an icon for with luggage the list somewhere for "all services" or "SBB Services. " It takes a bit of work to find it. Here is what you get:
It is followed by a long list of reduced hours on certain holidays.
Here are the data for the days nearest your stay:
Public holidays Date Opening hours
National Day Thursday, August 1 2019 8:00–19:00
Assumption Day Thursday, August 15 2019 8:00–19:00
Lost and found has the same hours and is the same location in the station.