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Raw honey from your local area is the way most people try to develop a resistance to the pollens that cause them problems. You don't want it pasteurized, because that will neutralize the pollen benefits. Farmer's markets are a good source for local honey.
A standard bee hive is about 24 x 20 inches square and the height depends on how many boxes of frames you have over the boxes where the queen lays her eggs. As the bees put honey in the boxes, you add more boxes of wax foundation, for them to make into honeycomb and put pollen and honey inside the honey comb.
A bee hive doesn't take up much space and if you put something like a hedge close to the front of the hive, so the bees fly up when they leave the hive, you would hardly notice a hive in your back yard or the bees flying in and out of it. How much honey you can get off one hive depends on the flowers/crops available to the bees for pollen and nectar, but one hive would create enough honey for most families if the weather conditions are right for the vegetation the bees need.