Spanish moss can live on but not harm the host trees on which it thrives, but that doesn't take into account the fact that heavy accumulations of the moss can block out light and weigh down branches.  Such is the case with your trees.  The most often recommended remedy is regular hand removal.  In addition, maintain your trees in good health with a regular fertilizing and pruning schedule.    Copper sulfate sprays have been shown to help in the control of growth of Spanish moss.   Copper sulfate can be purchased under the brand name of Bonide at most garden centers.  Be sure to read the label thoroughly and follow recommendations for application.

Your response is readily available anywhere on the internet . . . somehow I expected more from an "expert"

You are correct that this information is widely available.  A careful search reveals that this seems to be the only best remedy other than hiring professionals to bring in heavy equipment and remove the moss from larger trees.   I am copying a response to another questioner much on the same subject, but this one answered by a true expert, Dr. Kim D. Coder, Professor of Tree Biology & Health Care Warnell School of Forestry & Natural Resources, University of Georgia.)  I hope this helps.

"There is usually no reason to try to eliminate Spanish moss on live oaks, as it rarely will cause any issues. I did, however, find the following information on Spanish moss in a more fragile tree, the pecan. Spanish Moss In southeastern and coastal areas, Spanish moss can occasionally become thick enough in pecan trees to increase ice and wind damage. A small amount of Spanish Moss does little or no damage to trees. Where it is a problem, spray the moss with copper sulfate at the rate of 10 pounds per 100 gallons (6 tbsp per gallon) during the dormant season."

Thank you for your update. It did help in stating when to do it. Other questions still remain in my mind, such as repeat applications, damage to surrounding plants, damage to grass, damage to fruit (or flowers). Anyway, thanks for your help. I guess I'll just have to take my chances.

Terrebonne and Lafourche parishes produce almost half of the citrus grown in the state.  I would suggest a personal or phone visit with the LSU AgCenter agent in your parish, possibly even scheduling a home visit.  He or she will have the expertise at the local level to answer all your questions.