The present work reports facile synthesis, full characterization, and architectural diversity of seven Co(II) coordination polymers, namely, [{Co(H₂MBP)₂(12-CDA)}·CH₃OH]_∞ (1), [{Co(H₂MBP)(12-CDA)(H₂O)}]_∞ (2), [{Co_0.5(H₂MBP)(14-CDA)_0.5}·(H₂O)_2.5]_∞ (3), [{Co(H₂MBP)(14-CDA)(H₂O)₂}]_∞ (4), [{Co(H₂MBP)(13-ADA)_0.5}]_∞ (5), [{Co(H₂MBP)₂(135-CTA)(H₂O)}(H₂O)_3.5]_∞ (6), and [{Co₂(μ²O)(H₂MBP)₃(1245-CHA)}(H₂O)₁₂]_∞ (7), derived from a 4,4′-methylene bispyrazole (H₂MBP) ligand and various flexible dicarboxylate coligands. The type of alicyclic flexible carboxylate coligand used in the synthesis and its coordination to the metal center play a key role in controlling the dimensionality and topology of the frameworks. Topological analysis of the simplified nets reveals that 1 and 3 possess a 4-connected sql topology, 2 features a 3-connected uninodal hcb topology, 5 contains a 3D cds topology, and 7 possesses an unprecedented new 3D topology. Interestingly, a well-resolved 1D water chain is found within 3 and the presence of a heptanuclear water cluster assisted via a free carboxylate group is observed in 6. Chirality associated with 5 has been supported by solid-state CD spectra, and variable-temperature magnetic studies indicate that 7 exhibits canted magnetic coupling between the carboxylate bridged Co(II) ions.