I was always excited, in the morning before we'd meet, thinking about how the day would turn out.
「会いに行く日の朝はいつも、どんな日になるかうきうきしてた」は英語で「I was always excited, in the morning before we'd meet, thinking about how the day would turn out.」という表現が良いと思います。(その日にどんな楽しい出来事が起こるかーWhat kind of fun will happen on that day)
うきうきするーTo be giddy・To be cheerful