In the past, adding pictures to Flickr from your phone meant using third-party apps that integrated into the Android gallery or could cross-post to your Flickr account. Now there's (finally) an official app from Yahoo! for its Flickr photo sharing service. It's still obvious that the app is brand-new, given the appearance of some bugs, but it is a good step in the right direction. Here's how to get started using it:
Step 1: Grab Flickr (by Yahoo!) from the Android Market and log in to the app. If you don't have an account, you'll be prompted to create one.

Before you start taking photos, make sure the settings are correct. Press the Menu button on your Android device and then Settings. Location services and original picture size are the options you want to pay attention to.
Step 2: Press on the camera icon in the lower-right corner to take a picture.
Step 3: Adjust the camera angle with the small hollow rectangle on the gray button in the corner, or click the collated tiles to choose an image from the gallery. (Another option is to get distracted by how innocent your pet looks while sleeping and take their picture instead.)
Step 4: After you've got the perfect shot, choose whether you'd like to use a filter effect. The choices are along the bottom and can be scrolled through from left to right.
Step 5: Enter a title for the photo. You can also click Add details if you'd like to include more information.
Step 6: Press Next and choose which social networks on which you'd like to cross-post your photo.
Step 7: Click Upload. A progress bar will load in the notification shade.
One small and semi-annoying issue you may experience is the upload progress bar. Once it completes, if you tap on it, a small window will appear with the upload information. Pressing OK on this window is not likely to remove it from your notifications. However, you can click on Clear in the notification shade and the progress bar will not reappear. Additionally, uploads can take a bit, so try to use Wi-Fi when possible. This way you can spend more time taking new photos instead of waiting for others to upload.Flickr