After having run the create-remix command and selected "Vercel" as a deployment target, you only need to import your Git repository into Vercel, and it will be deployed.
If you'd like to avoid using a Git repository, you can also deploy the directory by running Vercel CLI:
npm i -g vercel vercel
It is generally recommended to use a Git repository, because future commits will then automatically be deployed by Vercel, through its Git Integration.
To run your Remix app locally, make sure your project's local dependencies are installed:
npm install
Afterwards, start the Remix development server like so:
npm run dev
Open up http://localhost:3000 and you should be ready to go!
If you're used to using the vercel dev command provided by Vercel CLI instead, you can also use that, but it's not needed.