Alright, let's get started! First things first, we need to have both Supabase and FastAPI installed. For FastAPI, you'll need Python 3.6 or higher. To check your Python version, just run python -V in your command line. If you're good to go, install FastAPI using pip like this:

pip install fastapi

Next, we need FastAPI's asynchronous server, uvicorn. Install it with:

pip install uvicorn

For Supabase, head over to supabase.io and create a new project. Once that's done, jot down the supabase URL and anon public attributes from the API section in your project settings. You'll need these later.

Create a new directory for your project, then make a new Python file. You can name it main.py or whatever you like. This file will house the main code for your FastAPI server. Here's a simple structure to get you started:

from fastapi import FastAPI

app = FastAPI()

@app.get('/')
def read_root():
    return {"Hello": "World"}

To hook up Supabase to your FastAPI app, you'll need the Supabase Python client. Install it with pip:

pip install supabase

Then, at the top of your main.py file, import it like this:

from supabase_py import create_client, Client

After importing the Supabase client, create a new client to connect to your Supabase project by adding these lines:

url: str = "your-supabase-url"
key: str = "your-supabase-key"

supabase: Client = create_client(url, key)

Don't forget to replace "your-supabase-url" and "your-supabase-key" with the actual supabase URL and anon public key from your Supabase project settings. Now, your FastAPI server can talk to your Supabase database.

To make sure everything is set up correctly, go back to your command line and navigate to your project directory. Then, start the FastAPI server with:

uvicorn main:app --reload

Your FastAPI server should be up and running, connected to Supabase. You can now make HTTP requests to the server and manipulate data in your Supabase database.