There's handy reporting and graphing tools that should give you a little bit more perspective over where your money is going. Moneydance then helps you trace budgets, and reminds you of upcoming bills to keep you up-to-date. Even better, you can use Moneydance to automatically pay your bills for you too. You can retrieve credit card statements and bank statements from most major US banks that support OFX standards.
Most importantly, Moneydance supports online banking which is what will convince many users to convert to it from Quicken. It's quite easy to get lost at first amongst all the options available so a good idea to use the Help file. When you've done so, you navigate Moneydance using the menu bar down the left hand side. When you start Moneydance, you're offered the chance to import data from Quicken Essentials for Mac or setup a new file or account in the currency of your choice. While Moneydance may not feel quite as intuitive as Quicken at first, it can do pretty much everything the latter can and was actually one of the first ever financial applications on the Mac so it's certainly not lacking in experience.