Just in case you are initially disappointed by cider made by yourself of other locally, when I've made it from kits, the stuff takes a long time to clear.
The result is a slightly hazy brew which tasks slightly sour or 'off'. This is because of the particles of yeast left in the liquid. I bottle the brew after about 2 weeks in a barrel. I use old 2 litre plastic drink bottles (cider, Cola, whatever) and leave it for at least another month - longer if possible. Any yeast will eventually settle as a light brown sludge.
The cider will probably be slightly fizzy but be careful if there is a lot of gas. When the bottle is opened this will cause the cider to foam and re-decorate any room in which this takes place! Even a little foaming will re-mix the sediment into the cider making it undrinkable. If so, leave for another 24 hours in the fridge and all should be well.
If the bottle is under internal pressure try cooling it thoroughly in the fridge door (don't freeze) and then gently release the gas pressure in several stages, possibly over 24 hours if there is a lot of gas. Then decant the cider into another clean bottle or bowl if it froths too much. In a bowl the gas will disperse easily when the cider can be re-bottled. Because the cider is really cold there will still be a good supply of fizz when it warms but there is now very little sediment so the taste will be good.
I hope this helps with the bottle of locally made cider you purchased.
NN