I want to get into electronics but I only have 2 hours per week to spend time-wise and my budget is low. What are some good projects? Perhaps I should spend my time doing C programming challenges instead... and then when I have more time and money get into the hardware?
You wont learn much with two hours a week... Electronic is not that easy, you will just learn very basic things and forget it for the next week ! However, if you are ready to spend 30min - 40min a day in electronic, I recommend you to look at Arduino tutorial. Most of the time it cover basic C langage as well as very basic electronic. Bu doing so, you will understand the very basic electronic.
If you want to go further in the electronic, I recommend you to buy a electronic book. This post cover lots of book. You can make your choice ;)
Another alternative is to join electronic workshop if there is one in your city