Which distribution would you rather suggest that I install?
Almost all distros are good. You can try as many as you can they're free: try all the top 5 from the distrowatch you can visit here
each distro contains link where you can download an iso image to burn.
To my experience, as long as your machine is not really old, Linux Mint has had no driver issue and it installed smoothly, plus the codex for media formats are mostly enabled at install, so you don't need to install them. You can download the latest Linux Mint here
In order to dual boot or multi-boot with more than two OS's you can do it easily with Grub bootloader which is auto installed under Mint. Better read first a short tutorial about Grub here
so that you will have confidence in manipulating its powerful capabilities.
Welcome to Linux World of Freedom and cooperation.
Hope this helps.