I personally check RSS-feeds every day and ever since Google Reader got discontinued a while back, I’ve found a viable alternative, The Old Reader. The service easily allowed me to import my old feeds through an OPML-file, and even gave me instructions how to export my Google Reader feeds.
The service does not (yet) offer any iPhone app, or Andriod equivalent that I know of. However, since it seems to be already optimized for mobile browsers, it is not an issue of mine. Simply create a iOS homescreen shortcut from Safari, and you’re done. Fancy web 2.0 HTML5 site-build adds a nice feel and the controls are what you would expect from an RSS reader.
Apart from the occasional slowdowns, site-downs (I hope you like cats) and internal conflicts within the site crew. I highly recommend it.