See llamafile (https://github.com/Mozilla-Ocho/llamafile), a standalone packaging of llama.cpp that runs an LLM locally. It will use the GPU, but falls back on the CPU. CPU-only performance of small, quantized models is still pretty decent, and the page lists estimated memory requirements for currently popular models.
+100 to this, I don't think many people reading this thread realize how easy they've made it to run a LLM locally. It's a great start if you want to kick multiple tires (be careful to clean up! the gigs add up).