Hybrid systems present a new testbed of fundamental quantum physics with potential applications in quantum computing. We outline the construction a hybrid system composed of a superconducting circuit coupled to an ensemble of atoms. Central to this endeavor is a cryogencially-compatible cold atom trap, which we realize with an optical nanofiber (ONF). We detail the fabrication of ultrahigh transmission ONFs, and demonstrate optical trapping of rubidium atoms in the evanescent field around the ONF waist. Using the conditional detection of light emitted into the ONF guided mode we measure quantum and classical correlations. These correlations distill physics at a wide range of timescales - internal atomic dynamics (ns), classical atomic motion ($\mu$s), and ONF mechanics (ms) - that will be important as we put this system together.