Well, as White, I would say 1.e4, just because it is by far the most popular first move among beginners! However, playing 1.e4 requires kind of an extensive memorization of variations, but I'd suggest being able to combat the Philidor, Petrov, and Sicilian (although that'll take a lot of study). As Black against 1.e4, be able to learn the Ruy Lopez and the Italian Game (which is actually the same as the Giouco Piano), because it is common for White to bring his bishop to b4 or c5. I recommend, though, playing the Caro-Kann as Black, because it is super solid and defensive, so your opponent might have a hard time gaining an advantage.
As Black against 1.d4, I'd suggest learning 1...Nf6. Although it might require more theory knowledge, it will possibly earn you better results.
Hope that helps!
Back in the 1970s, I read I.A. Horowitz's move by move explanation of the ideas at work in the Ruy Lopez in his Chess Openings: Theory and Practice. In the years since, I have found nothing equal to this section of text for the beginner.