Me, done it loads of times.
Wash the apples, chop them up roughly, put them in the water skin, pips and all.
You will need a heaped tablespoon of sugar for each half a dozen apples.
Stir only once, that will do.
To keep them submerged you can use a saucer, a stone, any porcelain/stone implement that fits the jar - no metal.
Periodically check there's enough water to keep the apples submerged, top up to requirement.
Cover the fermenting brew with a kitchen cloth or similar, to keep the fruit flies out.
You can buy special fermenting kits from the usual outlets quite cheap, it's the glass jar normally that is expensive, but you could even ferment in a stone vase.
The fermenting "teat" is quite handy to have, as long as it fits your fermenting vessel of choice.
Leave to brew for 6 weeks or more - couple of weeks more won't do it any harm - strain into another vessel that has a lid.
Do not tighten the lid or it could explode, because before it becomes vinegar the brew turns into a (weak) apple cider.
Continue protecting it from the fruit flies
When the brew stops being sparkly it's ready to use as vinegar, you can close the lid tight, stop taking precautions about fruit flies.
The longer you leave it at this stage, the more vinegary (less sweet) it will turn.