I present results of a high-resolution imaging survey of barred S0--Sa galaxies which show that the central regions of these galaxies are surprisingly complex, and often dominated by dynamically cool components. In particular, inner bars --- secondary, small-scale bars (typically less than a kiloparsec in radius) located inside of, and probably rotating faster than, the large-scale primary bars --- are present in about one quarter to one third of all such galaxies. A third of SB0's appear to host kiloparsec-scale disks within their large-scale bars; but the frequency of such inner disks is much lower for later Hubble types. I also include results from an ongoing analysis of about 50 known double-barred systems (extending to Hubble types as late as Sbc), and discuss their characteristic sizes, orientations, and implications for the nature of these structures.