What will get the back of my iPhone off?

My I phone was dropped yesterday and it was working fine until it died… Naturally ran out of battery. But then it wouldn't charge. I've tried everything, big, small. It will not charge! So, instead of buying a new one just yet, I heard taking off the back and redoing the battery could work. I don't have a warranty that covers accidental damage, so I'm not worried about that. Thing is, I don't have a screwdriver small enough to take the back off! What else could work?

Try a widget.

Smashing it

Heat from a hair dryer and careful prying… Which if not done exactly right could severely damage the phone - with your chances of doing that right without detailed instructions being about zero and with them less than 50%. I know the cost to replace a battery is ridiculous, but it's a bargain compared to the repair charge if you mess it up.