Paul thank you for the suggestion. Actually there are quite a few packages out there, as discussed in this thread as well as here.
For most cases, LsqFit.jl just does the job, however I got some issues with it, and @ChrisRackauckas recommended to avoid it.
What I need is just a package which I could use for simple curve fitting. If there is a SciML package doing what I need, that’d be my default choice.