Spin-wave transport across multidimensional networks of magnonic waveguides represents a crucial and necessary aspect of prospective densely packed three-dimensional spin-wave architectures. Here, we report the results of investigations of spin-wave propagation through magnonic waveguides extending along and bending across two and three dimensions. We consider three designs of in-plane two-dimensional bends, namely with right-angled, diagonal, and curved geometries. Our numerical and experimental results show that such bends facilitate the conversion of spin-wave types, with the output modal number depending on the spin-wave frequency. At the same time, variation of the width of lateral magnonic bends enables the spin-wave wavelength to be modified. When propagating across three-dimensional waveguide bends in the form of out-of-plane junctions, the spin-wave wavelength can similarly be tuned by adjusting the stripe's thickness. Our results show that magnonic waveguides can serve not only as passive conduits but also as active elements in modifying the properties of the transmitted spin wave in three-dimensional magnonic networks.