Be forewarned. It is very difficult to avoid binge-watching the show.
Warning! Peacock bizarrely separates the 3 hour long pilot episode (referred to as a 'mini series') from the rest of the series.
Start here: https://www.peacocktv.com/watch-online/tv/battlestar-galacti...
Then go here: https://www.peacocktv.com/watch-online/tv/battlestar-galacti...
There is some science fudging for sure, and I have to warn you later on it gets more and more metaphysical and ambiguous. The last season turned some fans off, but it really didn't bother me. I'd have rather is stayed more grounded, but even right to the end the characters and the storytelling carried me through. Some of it's tough watching, a few of the characters really go through the grinder.
I'd highly advise checking some clips on Youtube, and maybe check out the Spacedock channel's analysis of some of the battles.