We study the temperature-dependent microwave response of high-kinetic-inductance superconducting resonators fabricated in Albanova's Nanolab as a part of the LKIPA device project. The investigated devices are based on circuit layouts designed for kinetic-inductance parametric amplification but are characterized using single-tone microwave measurements. We first compare the resonance parameters of different circuit designs to discuss and evaluate the performance of some fabricated resonators. A selected device is then measured in a cryostat, between 1.7 K and 3.0 K, to investigate how the resonance frequency, internal and external loss rates, and Kerr nonlinearity depend on temperature. The results show that the temperature dependence of the resonance frequency and external loss rate can be well described using a Mattis-Bardeen approach for linear responses in the investigated temperature interval. The internal loss rate, however, requires additional resistive channels beyond quasiparticle losses. By investigating near-resonance nonlinearities, we also demonstrate that nonlinear effects are less prominent when the temperature is increased. Deviations between the scattering fit and measured data are also discussed to evaluate possible limitations of the scattering model.