I have detachable magazines and I love them. However, there are certain designs that I like more over others.
My favorite DMs are my Browning A-Bolt I Stainless Stalkers. (This is the older version. I don't know if the newer versions are different, especially since now Browning and Winchester are owned by the same company.) You push a button on the bottom of the floorplate and the floorplate swings open. The DM is attached to the floorplate and cannot fall out when you open it. Once it is open, you can take the DM off of the floorplate.
Next are my Remington BDL SS DMs. Unlike my Brownings, if you open the magazine, it can fall completely out because the "Floorplate" is actually the bottom of the DM. However, I still like this DM over not having a DM.
Next is my Tikka Laminated Stainless. It has a DM very similar to the Remington, except that it is thinner.
Either way, I love DMs. I take them out when I'm going to the truck, and slide them in when it's time to hunt, rather than keeping on putting in bullet after bullet after bullet after bullet and then again taking them out and taking them out and taking them out. Sorry to be repetative, but you get the point.
Now, some people say that the drawback to DMs is that the stocks are not as rigid and thus accuracy suffers. They sounds true in theory, but all of my rifles with DMs shoot sub 1" groups at 100 yards, so I don't think that a more "rigid" stock would have increased accuracy.
Bottom line. I love my DMs and find it difficult to go back to the "hinged floorplate" designs.
Hope this helps.
Zachary