I am fully aware I am considered a hard-working "digital" citizen and it's no easy task staying focused during work. I don't know the secret to be uber-productive, but I use some tools/apps that help me do stuff. Here's how I find order, even in chaos:
Let's start with TODOs. As much as it sounds weird, I use three different tools - each of them with its specific role.
For making quick notes or creating drafts I use Evernote. It's always open on my laptop and always active on my phone. And because it syncs in the cloud, I can access it anywhere from the web.
I use Wunderlist especially for making long-term plans like a personal short-term bucket list. I find it the most efficient and direct when it comes to tasks.
When it comes to organizing content (e.g. planning my next article) I use Trello. Is ideal for getting a birds eye view of your plans. And the best thing is that you can use it as a card sorting tool.
When it comes to actual daily tasks, I prefer the offline method. I use sticky notes to organize my "right-this-minute" TODOs. Although I carry a Moleskine all the time, I prefer these. Due to their size you have to carefully choose what to put on paper eliminating the desire to stretch yourself too much.
When it comes to surfing the Internet my primary browser is Firefox (because of its Developer Tools) then Chrome, but I usually keep all of them for testing purposes (this includes Safari, Opera etc.). When it comes to add-ons I don't use that many: Colorzilla for quick color picking, ScreenGrab and Lightshot for full or partial page screenshots and Pocket for bookmarking.
Working with music
I tried a lot of websites to find the most appealing music that can keep me focused. I used HypeMachine, LastFM and Stereomood, but I always seem to return to 8tracks. It's just great to discover new music (in my case... indie rock). Sometimes I like to combine the music with Rainymood or Noisli, just to lighten up the room. Here are a few playlists I consume everyday:
Keeping myself mainstream
In this line of work you need to keep yourself updated with current news, trends and events. It enables you stay afloat with what's happening into the world (for example maybe you want to do something new and you later find out that has already been done - true story).
I am a constant Twitter user, but I don't resume myself only to tweets and followers. I keep a close eye on Designer News, while checking on the other tab what's new on Medium. On the go I check everything I need to know using Flipboard.
Designing & Prototyping
There is not much to tell here. Photoshop and Illustrator are the basic tools (I'm not pretentious when it comes to their version). On the other hand, when it comes to wireframing and prototyping, I tend to experiment a lot: Axure, Balsamiq, InVision (recently most used), Pixate, Marvel and so on. Sometimes I just skip to prototype directly in HTML5 and CSS3.
When it comes to quick coding (prototyping, updates or pure work from scratch) I choose Sublime with an extra layer of "add-ons". To name a few, I use Package control, Sidebar enhancements and of course Emmet.
Things keep on coming
There will always be something new, something interesting, something curious to try. These are just a glimpse of my current habits.