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There are several things you can do to conserve your battery, but be aware that a new phone will have shorter battery times. Battery life improves with use. It's important to teach your phone the capacity of the battery. Many times a phone is not completely charged the first time and the phone will base it's reporting on inaccurate information. Try this...
Let your phone completely discharge. Leave it on until the phone shuts itself off. Then, without using it too much, plug it in to the a/c charger (not the USB cable) and let it charge to full. When it shows a full charge, unplug the phone and reboot. Then shut the phone off and plug it back into the charger. If plugging it in boots the phone, when it is completely booted, shut it off while still plugged into the charger and let it charge for at least an additional hour even if it says it's fully charged. Finally reboot the phone.
You've now taught the phone the capacity of your battery and it will be able to more accurately report the charge (and you should see longer battery times).
Modern LiIon batteries do not require conditioning and are actually susceptible to damage if you constantly deep-discharge them. They perform much better and last longer on short incremental charges.
You can also check in with
Motorola Droid RAZR - Android Forums to see if there are any specific tips for your model.