There are models you can download and run at home that doesn't have the politically correct censorship inside. It's very nice to not have artificial politeness for example, and the models actually answers your actual questions.
You need a powerful computer for some of them though.
For a user without much technical experience using a ready-made gui like Jan.ai with automatic model download and ability to run models with the ggml library on consumer grade hardware like mac M-series chips or cheap GPUs by either Nvidia or AMD is probably a good start.
For a little bit more technically proficient users Ollama is probably a great choice to start to host your own OpenAI-like API for local models. I mostly run gemma2 or small llama 3.1 like models with that.
I was also kind of blown away by the Firefox nightly version, where they have a new sidebar. In that sidebar, you have buttons for having chat gpt open if you want. But that's not the impressive part. It also lets you choose from other models like huggingface, so anyone can try them and understand how the open models are without any installation.
Oobabooga is a pretty beginner-friendly solution for running LLMs locally. Models are freely available on Huggingface, but look for GGUF quantizations that will fit in your VRAM. The good thing about GGUFs is that they're typically offered in a wide range of sizes so you can pick one that will fit on your GPU. If you use all your VRAM and start offloading to system memory then the generation will be far slower.
Once you mess around with Oobabooga a bit, I'd highly recommend picking up the SillyTavern front-end. Oobabooga runs the actual model while SillyTavern manages characters, world lore, and offers a wide range of other features including a "visual novel" mode where you can set up character sprites that emote based on the content of the messages. It takes a while to get the hang of but it's pretty cool.