+1 the arduino UNO is a good board for beginning, and if you burn the chip, you just have the chip to replace, wich would be difficult for the DUE, and far more expensive (you should find the UNO chip (Atmega328) for 5$, a bit less than the DUE board price ^^)
The other good thing with the UNO is that this is THE standard prototyping board on the internet, you shouldn't have any problem finding what you wanna learn on it, while the DUE is a bit new. Even if it is compatible, there are some functions on it that are still a bit hard for a beginner, let the community do its job and you will come back later with some great libraries
For the IDE, my advice would be to start with the arduino one, it is really easy, and when you will master it, you will be able to search for something a bit more complete.
To learn electronics, the most important thing is to understand the basics, and the UNO makes it easy. When you will need a bit more speed or IOs, you will buy the DUE, you will never regret to have started with the UNO, in a big project it is always handy to have some UNO to complete your main board
Hope it helped