Two steps, about a minute, no sign-up. You need a computer with Chrome for this part; after that, any phone works.
1Install the extension
DraftKings only shows your drafts to your own signed-in browser, so a small Chrome extension reads them for you. It never sees your DraftKings password, and it only runs on your DraftKings contests page.
The extension is in private beta — ask for the install link.
2Sync your teams
Open your DraftKings contests page while signed in to DraftKings, then click Sync to dkbbdb in the panel at the top right. When it finishes it links straight to your page.
Sync again whenever you draft new teams, and once after each playoff round when teams move to new leagues. Scores update on their own.
Good to know
Pages are public: anyone who types your DraftKings username can see the teams you synced. Only people who sync themselves are listed — never the opponents in their leagues.