Srila Prabhupada used to say Bhagavad Gita first, then Srimad Bhagawatam, then Chaitanya Charitmrta. Its like Gita is graduation, Srimad Bhagawatam is post graduation and Chaitanya Charitamrta is PhD.
Still you can begin reading the Chaitanya Charitamrta side by side with Srimad Bhagavatam if you are able to manage both.
GM approved reply/05102020