Method for shipping program with many runtime dependencies?

I have created a program that works on my machine, using multiple libraries that I downloaded with mingw (opencv, sfml audio). I have found certain dlls that are needed for the program to run in its directory however it apparently doesn't have all of the runtime dependencies and it doesn't seem that I can statically link them.

My issue is that it seems messy to fill the directory with many tens of dll files for the program to work, so I have been spending some time trying to figure out if there is a more professional and effective method to ship this program with its required runtime directories.

Maybe there is a way to find certain decencies that already contain other ones, I have heard that there are dependency trees so is that an option?

Thank you for the help