“就在刚刚开始”可以翻译为 “just at the very start” 或 “right at the beginning” 。
例如：
Just at the very start, we encountered some unexpected difficulties.（就在刚刚开始，我们就遇到了一些意想不到的困难。）
Right at the beginning of the project, there were a few hiccups.（就在项目刚刚开始的时候，出现了一些小问题 。）