The Lucerne Museum Card is a great deal, giving you free access to 8 museums in Lucerne and around Lucerne on two consecutive days for just 36Sfr. You're already saving money if you just go to three museums, and if one is the transport museum (30Sfr), you're almost saving from the start. The Lion Pass (22/12Sfr), a combined ticket to the Gletschergarten and Bourbaki Panorama, is currently not available, as the Gletschergarten has redcued admission anyway due to reconstruction works (until May 2020). So the classic one-day 19th-century tour - Lion Monument (free), Gletschergarten, Alpineum and Bourbaki Panorama currently costs 24.50Sfr (buy tickets individually at each attraction).
Museum Card: 36Sfr. Available at the tourist office at the main train station and at all participating museums. No reduction for children, so not necessary worthwhile for kids. Lion Pass: 22/12Sfr, available at Gletschergarten and Bourbaki Panorama.