Methot came over from Columbus in exchange for forward Nick Foligno. The 27-year-old Methot is an Ottawa native who had spent his entire NHL career with the Blue Jackets.
Latendresse will be looking to revive his NHL career in the nation's capital after agreeing to a US$1.25-million, one-year deal. He played just 27 games combined over the past two seasons with the Minnesota Wild, scoring eight goals and 15 points.
He missed 50 games due to a concussion last year.
Latendresse is a former second-round pick of the Montreal Canadiens and spent parts of four seasons with the team.
Lundin had two assists in 17 games during an injury plagued season with Minnesota that saw him miss 48 games.
Prince had 43 goals and 47 assists with the Ontario Hockey League's Ottawa 67's last season after being drafted 61st overall by the Senators in 2011.