While I am sure both is the best solution, I can also assure you that Time Machine is quite sifficient, and has some great advantages.
Mainly, once you set TM up, it works quite flawlessly. Most importantly, in our household, we rely on laptops, and they are rarely "docked". TM backs up via the wireless network whenever the computer is on. We have gotten int habit of leaving the laptop on when it is charging, so it can also backup.
Twice over the past several years I had to restore a drive after failure and exchange of the HD (1 each MacBook, MacBook pro) and I was amazed to find that the TM backup was up to date, and after a few hours connected with an Ethernet cable to the router, things were back to where they were before the drive failure.
Please realize, while knowledgeable about the importance of backups, etc. my wife and do not think much about them, and certainly do not 'do anything' active on a regular basis.
I suggest you do time machine (get the biggest HD for it you can afford...) and try and remember to also do ccc or sd. Esp. if you have a rarely tethered PowerBook.....