Use your WordPress blog to host the photos you post to Twitter!
TweetPress can be used with popular Twitter clients such as Twittelator Pro and Twitter for iPhone to allow you to post photos to Twitter and host them on your WordPress blog. It features a full API for developers, so any Twitter client can easily integrate with TweetPress.
You can also post photos directly from your gallery page.
Yes, TweetPress has a full API so any Twitter client can interface with it. Please read the API documentation found on TweetPress' info page