We report on our Chandra Cycle 9 program to observe half of the 60 (unobserved by Chandra) 3C radio sources at z < 0.3 for 8 ks each. Here we give the basic data: the X-ray intensity of the nuclei and any features associated with radio structures such as hotspots and knots in jets. We have measured fluxes in soft, medium, and hard bands and are thus able to isolate sources with significant intrinsic column density. For the stronger nuclei, we have applied the standard spectral analysis which provides the best-fit values of X-ray spectral index and column density. We find evidence for intrinsic absorption exceeding a column density of 10 cm−2 for one-third of our sources.