6 gallons is the most common homebrew batch size.
This is by no means meant to be a step by step guide, but to give you an idea what you're getting into, this is roughly the process:
- Collect grapes and remove non-grapes
- Press
- Add sulfite to kill any wild yeast from the grape skins
- Allow sulfur to evaporate
- Add yeast and optionally yeast nutrient
- Allow to ferment to completion (3+ days of the same gravity reading) - generally around a month
- Optionally degas
- Rack (transfer) the liquid to a secondary fermenter or barrel. Optionally add wood chips.
- Let condition anywhere from a month to a few years
- Degas
- Bottle
- Condition (0 days to years)
- Drink!
Degasing can be done with a large spoon (takes hours, sucks, and doesn't work very well), a wine wand and a drill (works, but can still take up to an hour), or a vacuum pump (probably not for your first few fermentations unless you already have one sitting around). If you don't do this step, your wine will be fizzy (lightly carbonated) and bad.
Sanitation is by far the most important aspects, followed by sanitation, followed by temperature control.
I don't mean to discourage you from trying by any stretch - I would LOVE to be able to make wine from grapes I grew - just know that there are a lot of components and some care and forethought is necessary.
Winemaking Talk is the arfcom of wine making.
Homebrew Talk is the arfcom of beer making.