We are considering hotels about 15-20 minutes from the center of Lucerne unless someone can recommend a quiet, fairly centrally located hotel in Lucerne for $200 or less for a double. We would be arriving on the train from Zurich after arriving on an early morning flight and would need to store our carryons while we go sightseeing until we took the bus to the hotel later in the day, then do the same the next day after we check out until we leave Lucerne for Lauterbrunnen. Just want to make sure that lockers at the Lucerne train station are readily available. And does anyone know how much they cost?

Amenities at Lucerne station. It appears the left luggage facility closes at 7pm (you want left luggage, not baggage). I don't see any rates listed.
http://mct.sbb.ch/mct/en/reisemarkt/...htm?posid=1370

Look for the suitcase symbol. You will have to zoom in to see it.
http://mct.sbb.ch/mct/infra_services...-luzern-a4.pdf

Don`t know much about the lockers except that are at the side of the leftmost platform (when you enter the station from the main entrance). FYI, there is a manned left luggage counter in the basement of the station, if you choose to use this make sure you check what time it closes, if I recall correctly it does not stay open late.

Thanks for the info!