This talk is about recent and on-going work on classical string solutions relevant for the AdS/CFT correspondence. The focus is on properties which change when translating from the old $N=4$ super-Yang-Mills case (with strings on $AdS_{5} \times S^{5}$) to the recent case involving the super-Chern-Simons-matter theory of ABJM and strings on $AdS_{4} \times CP^{3}$. The two cases have many similar features, but always with extra complications in the new one.