We propose to carry out full-synthesis (12-h) HI ATCA observations of 6 bright Blue Compact Dwarf Galaxies (BCDGs). The HIPASS data of these objects indicate that they possess a considerable amount of neutral gas. We want to estimate the distribution of the HI in each BCDG and its surrounding, looking for independent HI clouds or morphological features that reveal interaction processes. We will also analyze the kinematics of the neutral gas and, using 1.4 GHz radio continuum maps, derive an extinction-free star formation rate. We will combine the data with the results obtained using optical/NIR images and spectroscopy. We remark that 3 of the galaxies will be observed at 8.2m VLT next semester.