LocalLLaMA

On Huggingface is a space where you can select the model and your graphics card and see if you can run it, or how many cards you need to run it. https://huggingface.co/spaces/Vokturz/can-it-run-llm

You should be able to do inference on all 7b or smaller models with quantization.

You can download 7B, 13B Q_8 models for such gpu. 30B Q_2 models would probably run out of memory.

This shows that larger models have lower perplexity (i.e. more coherent). You can run conversational models, but not those with infinite knowledge base.

Most of the paid services that provide open-source models use 13B models (for $15 per month); you can run those for free on your card.

Someone else needs to recommend a tool to run models locally.