About transportation and sightseeing

Hello, I'll be visiting Lyon on the first week of June, I'll be staying in the city for a couple of days, could you give me information on how I should get around the city ? I've heard that you need a TCL card, can I get that for 3-4 days ? How much would that cost ? Is there a possibility to rent a bicycle ? By the way, what should I visit ? I love art, museums, music. Any info is appreciated :) Merci beaucoup!