I am right behind @Linuxembourg in that regard, and @KGIII is also not only a regular user of Lubuntu but a Beta Tester for them.I am running Lubuntu which uses about 600MB of RAM with nothing running. It really depends what you run I suppose, but a browser and normal stuff should be fine.
But there are a number of options nearly equally suitable. I run 71 Linux on this rig, so have all sorts of opinions.
But you have expressed trying Mint first (a good choice generally) so see how you go with that, and if you have any problems, we can revisit the options and I can link you to pages comparing them.
Good luck, enjoy your Linux, and welcome to linux.org