For farms that have a lot of people working on them, I'd say one of the most important safety steps is to ensure that the high-traffic areas are always kept clean and obstacle-free. This involves clearing piles of objects and ensuring no dangerous farm tool is left lying around.
The same goes for buildings with stairs. All stairways should always have handrails.
Another area to emphasize is the floorboards in the upper stories of farm buildings. Old buildings especially tend to have a good deal of spots where the floorboards are weak or rusty. Regular inspection and maintenance help detect and fix this problem before it can cause any damage. It is also advisable to make use of a reputable building company for your farm structures from the very start.
Furthermore, don't ever underestimate the importance of good lighting in a farm building. All storage areas must be well lit, along with high foot traffic areas and stairwells. Bulbs should also be installed at a height or in corners where they can't easily be bumped or destroyed by humans and livestock.
