Anti-glare filters aren't inexpensive. However, it is cheaper to buy one that is just anti-glare rather than privacy as well. The privacy filters, which block other people from seeing what is on your screen, are very expensive and I don't see any point in getting one for use at home. You need to be sure to search for "anti-glare" filter if you want the less-expensive filter that has an anti-reflective coating and also protects your LCD surface.
Since this was my first purchase of a filter for an LCD monitor, I wasn't certain of the outcome. I bought a Kantek filter for widescreen monitor from Amazon. So far, I am very pleased with the product. I like how it enriches the tone and cuts out the brightness. If you consider ordering one, be sure you get the right size. Measure your monitor height and width and match to the filter size. I am including some photos I took of the monitor and filter so you can get an idea of the difference.
Also, other ways to reduce eye strain is to take eye breaks. Close your eyes a few seconds. Look at something in the distance for a few seconds. Also, uses light-blocking blinds on windows. Do not have a window behind or in front of a monitor if possible. The best position is for the window to be at the side of the monitor to reduce glare and eye strain. Use flat paint/muted colors on the walls which will absorb light. The eye doctor gave me lubricant eye drops to use and they help as well as glasses made for computer use.