So I've been weary of upgrading to ios 7 on my iPhone 5 as well because of the battery drain issues I've been hearing about.
I found a fix but haven't tried it myself yet.
So, on the apple communities board, Verizon iPhone 5 users said that after doing a hard reset, the battery drain issues were gone. I'll copy and paste the exact steps below:
"Try to Restore as New. If this does not fix the problem then either you have a hardware failure or the iOS 7 image that was installed is corrupt. Delete the IPSW file from your computer and restore again.
If the Restore as New resolves the problem before you add any apps or email accounts try restoring your backup using iTunes. Sometimes separating these two steps (Restore and Restore Backup) resolves it."
Here is a link to where I found the solution: https://discussions.apple.com/thread/5328332?start=0&tstart=0
Lmk if this works/helps! :]
Message was edited by: Verizon Moderator