You can always send the coins from the original Windows computer to an address you make in the new client on Linux, less the fees of course!
Linux has a variety of different desktop environments, such as Gnome, XFCE, LXDE, and KDE, each with their own independent development teams. When you merge these environments with Ubuntu, you get the different flavors: Ubuntu, Xubuntu, Lubuntu, and Kubuntu, respectively. Under the hood, they are all working the same. Only the user interface is changing. There is also a popular Debian/Ubuntu derivative called Linux Mint that I don’t have much experience with, but the differences involve mostly bells and whistles as well as the default software packages.
Just like crypto-currency, there are probably way too many choices and options available in Linux, but this is the natural consequence of open-source software.
