  We propose a scheme to prepare optical Schr\"odinger-cat states in a
traveling wave setting. Two states are similarly prepared via the self-Kerr
effect and after mixing them, one mode is measured by homodyne detection. In
the other mode a superposition of coherent states is conditionally prepared.
The advantage of the scheme is that assuming a small Kerr effect one can
prepare with high probability one from a set of Schr\"odinger-cat states. The
measured value of the quadrature provides the information, which state from the
set is actually prepared.
