i always buy bosch matey, as with everything get the best you can afford.
the rating on the alternator is max current it will deliver at idle,nothing to do with battery size.
when you buy a battery you are looking for CCA ,cold cranking amps,basically max burst of current.
the rating AH means amp hours, how much energy is stored in total.
best bet is check tinternet or use search function on here,am sure there is a thred bout this.
good luck