Our hives are usually 10 to 15 yards away from the patio and we entertain on it all the time with groups as large or larger than yours. Putting up the screen won’t hurt but I wouldn’t move the hives.
Let everyone know they are there, which allows anyone with an allergy to be alert and stay further away, and remind them to ignore the bees and not swat at them. We haven’t ever had a problem.
Of course it is possible that someone could get stung. That possibility always exists.
But over seven years the only stings have been when my dad and husband dropped a hive, when the dog (who insists) is chasing them, and when we are working with them, but very rarely then.
Odds are very good you won’t have any trouble at all and visitors will be interested in seeing the hive and the girls, from a bit of a distance of course.
Since you have never had a hive you may not know that you can walk all around an active hive, and except for very unusual circumstances, never be bothered at all.