There are several bike racks and a Blue Bikes hub near the corner of Tchoupitoulas and Lafayette.
There is metered street parking on Tchoupitoulas, South Peters, and Girod Street. See blue dots below. (Commerce St. and Lafayette St. are one-way roads that do not have parking spots.)
There are also larger lots (see grey P's below) available for parking, but note that they charge more per hour.