We investigate the horizontal dynamics of small-scale bright points (BPs) observed in the solar transition region using Interface Region Imaging Spectrograph (IRIS) 1400 Å slit-jaw images. The apparent horizontal motions of the detected BPs were quantified using the Fourier Local Correlation Tracking (FLCT) method, from which the two orthogonal velocity components, horizontal velocity magnitude, direction of motion, and two-dimensional trajectories were derived. The FLCT measurements were further assessed using displacement-propagation uncertainties, local correlation coefficient, signal-to-noise ratio (SNR), and correlation-peak width. The mean horizontal velocity magnitude of the retained measurements is 5.117 km s−1, with mean absolute velocity components of 3.378 km s−1 and 3.110 km s−1 in the two image-plane directions. The corresponding mean uncertainties in the velocity components are 1.543 and 1.541 km s−1, while the mean uncertainty of the velocity magnitude is 2.211 km s−1. The retained FLCT measurements have a mean correlation coefficient of 0.9017. The identified BPs have a characteristic lifetime of approximately 60.80 s. Analysis of the two-dimensional velocity field and its vorticity additionally reveals a subset of BPs associated with coherent rotational or vortex-like motions that persist over multiple frames. These localized rotational signatures may represent an important component of small-scale transverse dynamics and could potentially contribute to the excitation or transport of Alfvénic disturbances. Our results demonstrate that combining automated BP detection, FLCT-based velocity measurements, uncertainty estimation, correlation-quality diagnostics, and vorticity analysis provides a quantitative framework for investigating fine-scale dynamics and energy-transport processes in the solar transition region.