I am receiving a new phone battery in the mail for my i727 since my old one won't last at all.
Do you guys have any tips for me on how to charge my battery so that I keep my charge for the longest time possible without damaging or ruining the battery in any way?
Define 'won't last at all'? How much time do you get on the battery now? It rarely has anything to do with charging, unless you use some crappy charger that blasts high amperage current at it. Battery drain is almost always because of either a wakelock preventing deep sleep, or an app running in the background chewing up CPU, and thus battery. For me there were 3 culprits, 1) some chargers (specifically Apple compatible ones) cause a wakelock on 'vm_bus_present'. If you see this, reboot after charging to clear it and get a different charger. 2) Corrupt media data that causes the media scanning process to continually spin CPU. Clear data and cache for the media app. 3) Bluetooth crashes, and the you get a 'bluesleep' wakelock. Reboot until Bluetooth stops crashing, usually for me it only takes one.
CPU Spy and Better Battery Stats are your friends. See the Battery pinned topic, this is covered in much more detail there.