Hi and welcome.
Both those DSLRs are a good choice. You need to try them both before you buy, so they feel comfortable in the hand and menus and controls are right for you.
DSLRs require more input as images are no longer all in focus like the TZ30. However, images are far superior in quality and low light shots are better due to the larger sensor.
Have a look at this:
Beginners DSLR, CSC, Bridge or Compact tutorial to get you on the right track!
Just got a new DSLR, CSC, Bridge or compact? Then take a look at Canons basic tutorials and learn how to use your camera. This applies to all makes of camera..
In Part 2 you will learn how to get the most out of your photography and find out about ISO, Exposure, Depth of Field, Aperture priority, Shutter priority etc in picture form http://web.canon.jp/imaging/enjoydslr/index.html
And don't forget. Post processing is an important part of photography and should be used to sharpen and enhance pictures taken with your camera. If you don't have an imaging editor, then use the one in my signature below. There are http://ictpublish.com/pixlr/ to get you started. The most useful is the http://ictpublish.com/pixlr/Videoes/...06_Levels.html and for even more adjustment. The http://ictpublish.com/pixlr/Videoes/...07_Curves.html is a must (it's my favourite all-in-one adjuster). My Resize-Crop-Sharpen tutorial below, will get your pics ready for the internet or whatever