We present the first results from the COS-EDGES survey, targeting the kinematic connection between the interstellar medium and multi-phase circumgalactic medium (CGM) in nine isolated, near-edge-on galaxies at
$z\sim0.2$, each probed along its major axis by a background quasar at impact parameters of
$D=13-38$ kpc. Using VLT/UVES and HST/COS quasar spectra, we analyse Mgi, Mgii, Hi, Cii, Ciii, and Ovi absorption relative to galaxy rotation curves from Keck/LRIS and Magellan/MagE spectra. We find that low ionisation absorption for 8/9 galaxies lies below the halo escape velocity, indicating bound inflow or recycling gas, while 6/9 galaxies have high ionisation gas reaching above the halo escape velocity, suggesting some unbound material. We find that at lower
$D/R_{\textrm{vir}}$ (
$0.12\leq D/R_{\textrm{vir}} \leq0.20$), over 80% of absorption in all ions lies on the side of systemic velocity matching disk rotation, and the optical-depth–weighted median velocity (
$v_{abs}$) is consistent with the peak rotation speed. At higher
$D/R_{\textrm{vir}}$ (
$0.21\leq D/R_{\textrm{vir}} \leq0.31$), the kinematics diverge by ionisation state: For the low ionisation gas, the amount of co-rotating absorption remains above 80%, yet
$v_{abs}$ drops to roughly 60% of the galaxy rotation speed. For the high ionisation gas (Ovi), only 60% of the absorption is consistent with co-rotation and
$v_{abs}$ drops to 20% of the galaxy rotation speed. Furthermore, the velocity widths, corresponding to 50% of the total optical depth (
$\Delta v_{50}$) for low ionisation gas is up to 1.8 times larger in the inner halo than at larger radii, while for Ciii and Ovi
$\Delta v_{50}$ remains unchanged with distance. The 90% optical-depth width (
$\Delta v_{90}$) shows a modest decline with radius for low ionisation gas but remains constant Ciii and Ovi. At high
$D/{R}_{\textrm{vir}}$, both
$\Delta v_{50}$ and
$\Delta v_{90}$ increase with ionisation potential. These results suggest a radially dependent CGM kinematic structure: the inner halo hosts cool, dynamically broad gas tightly coupled to disk rotation, whereas beyond
$\gtrsim 0.2 R_{\textrm{vir}}$, particularly traced by Ovi and Hi, the CGM shows weaker rotational alignment and lower relative velocity dispersion. Therefore, low-ionisation gas likely traces extended co-rotating gas, inflows and/or recycled accretion, while high-ionisation gas reflects a mixture of co-rotating, lagging, discrete collisionally ionised structures and volume-filling warm halo, indicating a complex kinematic stratification of the multi-phase CGM.