there are various apps you can try
linux doesnt have as many big name software vendors like Windows does
you'll be surprised at what you can find "out there"
if you go to http://rpmfind.net
and look for "index by category" at the top of the page and follow the link,
you'll come to a page that may help
the other thing to consider is this...
because apps are NOT written to look gorgeous (regardless of functionality) they can take some getting used to (they often presume knowledge in there intended users)
i have come from a couple of years using software such as Sonic Foundry's Acid and Sound Forge and Propellerheads Rebirth and Reason and there ain't NOTHING that even comes close on Linux (that I've found).
You shouldnt have too many problems installing Mandrake next to Win2k, I installed it on my pc alongside XP with no trouble.
(i don't know anything about video production but I have seen links to sites that deal with the Linux end of such things. (again, look for user pages not big glossy company sites)
hope that helps a little