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This paper proposes two new estimators, one for mobile velocities and one for the direction of movement in mobile-to-mobile (M-to-M) wireless fading channels. First, we propose a new crossing-based estimator that jointly estimates the velocities of both the transmitter and the receiver in M-to-M communications. Then, using the velocities estimator, we derive a new correlation-based estimator for the relative direction of movement of the transmitter and the receiver. The proposed estimators are designed for narrow-band wireless M-to-M communications. They are evaluated through extensive computer simulations, and the results show that the proposed algorithms provide very good estimation accuracy and perform well in the presence of nonisotropic scattering, line-of-sight (LoS) propagation, and Gaussian noise.