Polymers have recently attracted widespread interest in the biomedical field. The design and selection of the proper polymer for each application strongly depend on material capability to fulfill specific demands, concerning their manufacturing as well as their physico-chemical and biological properties. In this scenario, the possibility to finely tailor polymer properties at different length-scales holds a great promise, opening the way towards the possibility to custom-design and process the best polymer for each envisaged application. For instance, the design of polymeric blends or composites allows a fine tuning of material properties through a proper selection of the constituents and their weight ratio. Another possibility relies in the synthesis of multiblock copolymers, that allows the ad-hoc design of the optimal polymer for each specific application. In this context, a segment of the research activities conducted in my group is devoted to the ad-hoc synthesis of poly(urethane)s (PUs) as constituent biomaterials of tissue engineering (TE) scaffolds and bioengineered tissue/organ models.