The only way to get rid of the Google Play Services app would be to root your phone. However, before even going there, know that any Google App requires Google Play Services and would not work without it. Google Play Services is essentially an API for all of the Google Apps. Without the API, the apps would be useless.
A better solution than uninstalling such an important app is to buy a MicroSD Card. They are extremely inexpensive and are only around $15.00. Your phone supports up to 32 GB of expansion, so you would definitely have enough room for the app afterwards. Then root your phone, download Titanium Backup and convert Google Services to a user app. After that, use Link2SD to move it to your SD card.