Google integrated Picasa Web Albums into Google+ in 2013. So when you add photos and videos to Google+, they will also be available in Picasa Web Albums. If you want to automatically backup photos and videos from your Android phone to Picasa web, then you can use 'Google+ Auto Backup' feature. It allows you to backup photos and videos to Google+ account automatically. This can include videos you take with your Android phone's camera, videos downloaded onto your phone, and videos saved by other apps. It allows you to backup unlimited number of standard size photos and videos for free. You can backup videos less than 15 minutes long and have 1080p resolution or less.
You can install PicBackMan's Picasa uploader for Mac from the website and start backing up photos and videos.