When is it safe to kiss my partner?

I have just been diagnosed with oral and genital herpes and believe it is from oral sex (we have not had intercourse at all) from a new partner who I have only known for a few weeks. I'm not sure if he is aware of having the disease or not; he has obviously never mentioned it to me nor did I notice any symptoms. Is it all right for me to, theoretically, kiss him once my outbreak is over? Could/will this trigger an outbreak in either of us, even if I do not have one at the time? How will our relationship work in future - if I do not have outbreaks and he does not have symptoms, can we further infect each other or trigger outbreaks through kissing, touching, etc. at anytime? Basically, when are we safe?!