It's very easy to accomplish using a StatisticsCalculator, e.g.:

This will read all the feature classes out of a File Geodatabase and write one record to the table "FeatureCounts" containing the table name and the number of features in it.

If you prefer a one-on-one video conference, your best bet may be to contact your local FME partner:

https://www.safe.com/partners/partner-locator/