Yes, once the trial ends you'll need to purchase AnyDVD.
You can of course try each of the decryption programs in turn. They all have trials. DVDFab Passkey works in a similar fashion to AnyDVD.
There are also a few free decryption programs. DVDFab has a free section within it called DVDFab HD Decrypter. It will continue to function as a decrypter for blur ray and dvds even after the trial expires. It will only decrypt and rip though, no compression. And there is a "Lite" version of DVDFab Passkey, which works with most dvds and blu ray. The free versions of Fab are not updated as quickly, so they don't work well with some new releases.
And another free option is BDLot ISO Master. It will rip as an ISO file, not as dvd video. But it is easy to work with ISO files if you mount them in a virtual drive, like Slysoft's free VirtualClone Drive. And some programs can open ISO files directly. DVDShrink can open an ISO, just click Ctrl I once you've started Shrink.
And the last option is MakeMKV. It can decrypt both dvds and blu ray, but with dvds your output is a mkv file...which can be format shifted into a dvd-video very quickly and easily with something like AVStoDVD, though you'll need to set AVStoDVD not to reencode video and audio streams that are already compliant to dvd video specifications. MakeMKV can output blu ray to either mkv files or keep blu ray video structure. The problem with MakeMKV is that it is free while in beta, and you have to update the program each month and go to their forum to obtain a new beta key each month.