I can recommend the old BBC series as it's well produced and prioritises accuracy over dramatisation as far as I can tell. It's obviously a bit slower than a movie but well worth a watch if you're interested in the topic.
I watched it a few months before watching the Oppenheimer film and it did spoil the film a bit for me. I've got mixed feelings about Nolan films - I really like a lot of his work, but find that it can be a bit superficial at times. e.g. I enjoyed Interstellar but found the ending unsatisfying and a bit hand wavy. However, when I watched it, I wasn't aware of the all the Jesus links in the story, so I was approaching it as a hard scifi film.
The ending of Interstellar almost ruined it for me. Even ignoring physics, it's a lazy plot device. I liked the rest of it so much that it was forgivable, but that involved mentally black-holing the end, like I forgot about it until rewatching recently.