I manage these cats primarily with lysine supplementation. It has been proven to decrease virus shedding and decrease the duration and severity of symptoms. Because it is not a bacterial infection, antibiotics are of no value in treating FHV eye or respiratory disease unless your vet believes there is a secondary bacterial infection. I rarely use antibiotics or antiinflammatories in these cats.
Lysine is not a pharmaceutical - it is a nutritional supplement that works by blocking arginine receptors. Since arginine is essential for FHV replication, this has the effect of slowing down or crippling the virus. Nothing can completely rid the cat of the virus, but we can make it less of an issue for the cat. There is no down side to using lysine for this in my experience.
I use Viralys powder, 1 scoop twice a day mixed into a tbsp of canned cat food, for a minimum of 2 weeks, and longer if needed. Some of my patients are on it very long term, though usually only once a day for maintenance. You can get Viralys powder online, in some pet stores, and some veterinarians may also carry it as an over-the-counter product.
Cats with FHV eye problems still do need followup visits, even if they are on lysine, to make sure the cornea isn't developing complications. It is very rare, though, for this to happen in cats receiving lysine twice a day.
I hope this helps. Please let me know if you have further questions.