Sounds like a lot of work moving plants around. Googling "How far away will bees fly from their hive to find pollen?" you get:
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The previous answers are pretty good at three miles. However, in desert areas and other barren strips, monitored foraging bees were observed as far as 13.7 kilometers (Guesstimate about about 8 and half miles)from the hive. Generally, the pollen collectors forage much closer to the hive than the nectar collectors. Some bees, of course forage for both.
They like to stay at less than 2 and half miles for greater efficiency. They will pass over closer crops to get a variety of pollen and nectar to vary the food being stored.
Beekeepers say, "Move a hive less than 6" or more than 6 miles." If you move the hive more than 6' they probably won't find it on their return. If you move it less than 6 miles they will return to their old site and find the hive gone. Either way the hive is in grave danger of collapse.
Pollen range is about 2 and a half miles. They will expand the range if needed. The nectar range is considerably further. They can ingest the honey they are carrying much easier than the pollen. At great distances this is sometimes needed to make it back to the hive.
Source(s):
Indiana Beekeeper. "The Hive and the Honey Bee" by Dadant.
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If you’re only a few blocks away you should be fine just putting them outside. Although having some chile's guarded by several hives of bees sounds really cool.
