If you are looking for hotel accommodation, we propose that you check for recommendations on the web site of Neuchâtel Tourism:
https://www.j3l.ch/en/Z11061/accomodation-neuchatel-region
Please note: Should you need accommodation, it is very strongly advised that you book a room very early as the demand during the month of June is quite high due to other events being organized in Neuchâtel (i.e. Festi’neuch).