Transmission for Linux is pretty much the standard Linux torrent client and will work largely the same uTorrrent on windows.
Torrents are torrents, they will work the same with any torrent client.
Ubuntu can see movies on your windows partition
Windows cannot see your Ubuntu partition. Big failure on Microsoft's part to implement ext4 filesystem in windows...
You can simply tell your ubuntu torrent client to download to your windows partition to mitigate that issue.