You have an absolutely amazing blog, but no one uses RSS anymore. Google will automatically share your Blogger posts to Google+ but come on, who actually uses that? You could have your Blogger posts sent to Twitter using IFTTT, but why bother?
Ok, well it's sort of a 3rd-party app. The sort answer is: Feedburner.
If you enabled "Subscribe via Email" then your blog's feed is already burned.
Login to Feedburner -> click blog's title -> "Publicize" -> "Socialize"
Here you can connect your Twitter account. Voilà!
More here: https://support.google.com/feedburner/answer/167800?hl=en