With every Tumblelog (Tumblog?), Tumblr provides a variety of RSS feeds to follow.
To get the full feed, simply append /rss to the end of your Tumblr URL. This works if your blog is yourname.tumblr.com or a custom domain. For example:
http://trdaisuke.tumblr.com/rss
http://trdaisuke.moe/rss
http://rin.nya.pub/rss
In addition to the full feed, you can also create an rss feed for a given tag. The formula is: yourtumblrurl/tagged/tag/rss If the tags have a space in them, simply add a + symbol in between words. For example:
http://trdaisuke.moe/tagged/idolm@ster/rss
http://trdaisuke.moe/tagged/love+live!/rss
http://rin.nya.pub/tagged/hoshizora+rin/rss
These options should allow you some pretty helpful syndication and/or creative connections between services!