I like using Google Drive a lot more because of things like backing up my photos from my Android to Google Drive drive (which even Dropbox can do). I also use a host of Google related services has meant I have started adopting Google Drive a lot more.
In a way a lot of people are already on Google Drive if they are using Google Docs. But Google Drive allows any type of file to be saved which makes it ideal to download attachments from my Gmail account.
I use Chrome and found Gmail Attachments to Drive extension very useful.
Features of Gmail Attachments to Drive
If you are using Chrome, simply install the extension. Simply sign-in to your Gmail account and look up an email which has a file attached to it.
As you can see in the image below, you will get a new option to ‘Save to Drive’ for the file..
It basically opens the web interface of your related Google Drive account to download it. Ideally I would suggest making a specific folder to move your downloaded attachements into to keep your Google Drive neat and organized.
I have been using this extension for a couple of days and unfortunately could not find a similar one for Firefox. If you do come across any Firefox add-on that does the same, do drop it in comments.