I replaced the battery in my N4 last weekend and it's doing much better. I actually did not have to charge it during the day yesterday. When I went to bed, it was at 13%, but hey, that's better than zero. All in all, I think it was worthwhile. I bought the batteries from Amazon seller Toosell and they seem fine. I'll do my brother's N4 this weekend. The hardest part is getting the back cover off without boogering up the edges. My phone was pristine before this job and is considerably less so now. I also bought tools from Amazon seller goodtradepurple88. You need a teeny tiny torx (purple markedT4x40mm) for the outside screws and a tiny phillips (green marked 1.5x40mm) for the power connector. Prying the case apart used the plastic prybars, the guitar pick looking things and my fingernails. The batteries were $15 apiece and I could have gotten them cheaper, but I was leery of the bad reviews. Tools were $7. The plastic bits (prybars and guitar picks) are pretty much used up, but the screwdrivers are fine.
As I said, worth the effort. Once you've had the case apart, it's a snap to do it again. So, additional repairs are more within my reach, should I need them.
thanks for the encouragement.
Z.