When comparing GroupMe vs Handcent Next SMS, the Slant community recommends GroupMe for most people. In the question“What are the best messaging apps for Android?” GroupMe is ranked 23rd while Handcent Next SMS is ranked 36th. The most important reason people chose GroupMe is:
GroupMe has a built in function to read receipts.
Specs
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Pros

Pro Reads receipts
GroupMe has a built in function to read receipts.

Pro Great web client
GroupMe has an excellent web client that can be used to send and receive messages and manage groups from the desktop.

Pro IFTTT Integration
Allows sending messages from web services via IFTTT.

Pro Integrated calendar
It's possible to add location and time with reminders directly in the GroupMe app.

Pro Makes it easy to silence 1 or all groups
GroupMe has settings that allow muting a single group or turn off all GroupMe notifications from within the app.

Pro Does not require everyone in the group to have a smartphone
GroupMe can set up a custom phone number which allows people without the App to send and receive messages. This makes it easy to add anyone to messaging.
Pro Can split a group text
Splitting a group text is a great option, so that follow-up can be personal and not everyone sees every response.
Pro Missed notification reminders
Pro Can text from a PC, Mac or tablet
Texting from another device allows one to not pick up one's phone every minute.
Pro Customizable appearance
Cons
Con Drains battery fast
GroupMe, in order to have a constant connection which allows for notifications drains the battery of a device quickly, which is not ideal for a messaging app that one needs on time notifications from.
Con Name is confusing
In your app drawer you'll see "Next SMS" but in Google Play "Handcent" is the first word of the app. That might confuse some people.
Con Texting from a PC, Mac or tablet requires extra work
