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Summary form only given. One of the possible applications of spatial optical solitons in a bulk medium is to induce stable non-diffractive steerable waveguides that can guide and direct a weaker beam, creating reconfigurable all-optical circuits. In spite of many theoretical and experimental results on the planar waveguides induced by bright and dark solitons, waveguiding properties of (2+1)-dimensional solitons have not been studied in detail. We analyze optical vortex and bright (2+1)-D solitons, guiding fundamental and higher-order modes. In the nonlinear regime, when the amplitude of the guided and guiding components are comparable, the waveguide itself deforms, and the resulting two-component beam is called a vector soliton. We present the first comprehensive study of the stability properties of the (2+1)-D spatial vector solitons in a medium with Kerr and saturable nonlinearity.