You would have two options...
One would be to buy different memory cards, using those to record for different purposes. That could get a little more expensive, but not too different from using minidisks.
Two would be to just record using the internal memory (or a single large memory card), and using your computer to download the movies. When you download movies to a computer from a harddrive camcorder, they come over as separate files for each time you turned off the camcorder then turned it back on, or each time you hit 'stop' then record again (as opposed to 'pausing' recording, which continues to save as a single file).
You then piece together the segments that are all for the same movie or segment using the simple supplied software from the camcorder, and burn it to a DVD. That allows you to separate all the different 'movies' you've saved on the harddrive and burn to their own disks.
Many camcorders will come with the ability to download files directly to a DVD burner - and will allow you to download multiple files as a single movie...or keep other files separate to download as a separate movie.
As for easy or not...that depends on you! For me, I don't find it too hard, but I've been copying movies through my computer and editing them for a while, even with my MiniDV camcorder. Rather than transferring directly to VHS or DVD, I always preferred to load the movie files to the computer, edit the way I like it, add transition effects or music, then burn to DVD.