Are there any prayers said before reading CC like there are before reading SB?
The author, Krsnadasa Kaviraja begins many chapters with this prayer:
jaya jaya sri-caitanya jaya nityananda
jayadvaita-candra jaya gaura-bhakta-vrnda
All glories to Sri Caitanya Mahaprabhu! All glories to Lord Nityananda! All glories to Advaita Acarya! And all glories to all the devotees of the Lord!
That is a nice prayer for any reading related to Mahaprabhu's lila.