Welcome to the forum. I'll try to help.
Most likely your partner is at little or no risk of catching your genital HSV-1 infection. Genital-to-genital HSV-1 transmission is rare, because both recurrent outbreaks and asymptomatic viral shedding are uncommon (unlike genital HSV-2). Daily Valtrex usually is not recommended for genital HSV-1, and I doubt you need to be taking it -- but in any case, that further reduces the already low potential for transmission. (I'm not sure what you mean about Valtrex and its effectiveness. HSV-1 is somewhat less susceptible to the drug than HSV-2, but treatment still is usually quite effective.)
As for oral sex, in theory there would be a risk of transmission to his mouth through cunnilingus. But the chance is near zero for the same reasons noted above. Further, half of all adults have had HSV-1, so there is a 50% chance your partner is immune to a new HSV-1 infection anywhere on his body. (He could have a blood test to know for certain whether or not he is susceptible.)
In the absence of oral symptoms, it is extremely unlikely you have oral in addition to genital HSV-1. If you do, asymptomatic shedding also is rare and the risk of transmission zero for all practical purposes.
Bottom line: As long as you're not having symptoms of a genital outbreak, for practical purposes there is virtually no chance of transmission. You and your partner have no worries on this score. Best wishes for a rewarding relationship -- don't let herpes stand in the way!
Here is a recent thread that discussed genital HSV-1 in some detail. Please take a look at it:
http://www.medhelp.org/posts/STDs/Recently-diagnosed-with-Genital-Herpes-HSV1/show/969931
Regards-- HHH, MD