Even if you take daily antiviral daily, you should reach a far lower rate of viral shedding in two years. We don’t have the specific detail on that as you might like. You’ve had four months not on meds so that’s good as well.
And yes, you should take it at the same time each day.
Remember that the IgG test for HSV 1 misses 30% of HSV 1 infections compared to the blot, so it is possible that your new partner is infected and doesn’t know it – just a thought, since about half the population between 14-49 has HSV 1 infection in the US