If you, like me, don't like the way Instagram links are handled on Android. Gram Bubble is the app for that. This App will open Instagram links anywhere on top of your current Opened app, So you could easily get back to what you was doing. No more clicking on Instagram Link redirects you to a full screen browser before opening Instagram App.
All you have to do is to download the app and login with your Instagram account.
One last thing, if you want to open Instagram links in twitter you have to turn off in-app browser. Go to Settings -> General -> deselect "Use in-app browser"