Hi and welcome!
we get all our fruit and veg for the week at the fantastic Farmers market which is on every Saturday morning at Horniman park.
Just cross to the other side of Forest Hill station, walk up London Road and its a three min walk.
before the farmers market opened I used to get the train to London Bridge and shop at Borough Market. I do a lot of juicing and raw food so fresh fruit and veg are very important to me!