Since it's rare to find someone who hasn't seen it, I'd like to add my two cents before you start.
The first season of Strike Witches isn't that great. The protag is insufferable, the pacing is weird, and it tries to be way too serious for what it is. The second season fixes most of that, and is a lot more fun, but Yoshika is still a little brat. And then Brave Witches, the third TVA, is great in every way.
In short, cut it a lot of slack at the beginning, because it only goes up from there.