If you want a free solution, it's online with Quicken (well, online they call it Mint but it's from the same people). Here's the link:
Free Personal Finance Software, Budget Software, Online Money Management and Budget Planner | Mint.com.
If you prefer to keep it on your desktop, Quicken is excellent (and what I use) - though it does go for $40 (possibly more for S&H) if you choose the cheapest outlet for the basic edition - more if you want additional options. Here's the link:
Quicken Deluxe 2010 - Free software downloads and software reviews - CNET Download.com.
Here are four free financial managment software options (including mint mentioned above) which you can review to see which, if any, fits your needs:
Free Personal Finance Software: Top 3 Free Online Finance Software Programs.
Finally, while this is a bit overwhelming in terms of the number of options - I've sorted to show just the free ones but you can expand the search if you want - here's a very comprehensive list of options to review:
Personal Finance Software - Free software downloads and software reviews - CNET Download.com. With 26 pages of listings, it's almost manageable - the full listing including options that aren't free is 883 pages!
If you're looking for free, then I'd recommend Mint simply because it's from the makers of Quicken so it's likely to have similar features and options (and I consider them very good - but I haven't tried the online version myself as I have the desktop product so I can't really speak from experience with it) - though it is online which means that it is not tucked away in your computer but on a server somewhere (which actually may make it safer as they do tend to do backups regularly and probably have RAID servers for redundancy - plus you could access it from anywhere and not just on your computer). I'm certain that even though free, there's a catch - meaning they have options that can be added at a cost (and maybe you'll need/want some of those options or maybe you'll do just fine with the basic free offering - and probably some ads from time-to-time as nothing is ever really entirely free).
If you want something only on your computer, then I have no specific recommendation as I've used Quicken since it first came out and been perfectly satisfied and willing to pay the money ($40 for 3-5 years isn't really that much) for it (upgrading every few years or so but not every year by any means) and it uploads data to TurboTax which I use each year for taxes, making the process go much faster.
I hope this helps.
Good luck!