  We study a family of noncommutative spacetimes constructed by one
four-vector. The large set of coordinate commutation relations described in
this way includes many cases that are widely studied in the literature. The
Hopf-algebra symmetries of these noncommutative spacetimes, as well as the
structures of star product and twist, are introduced and considered at first
order in the deformation, described by four parameters. We also study the
deformations to relativistic kinematics implied by this framework, and
calculate the most general expression for the momentum dependence of the
Lorentz transformations on momenta, which is an effect that is required by
consistency. At the end of the paper we analyse the phenomenological
consequences of this large family of vector-like deformations on particles
propagation in spacetime. This leads to a set of characteristic
phenomenological effects.
