If you need services from the JCE, go now. Rates will be going up considerably as of 1 June 2019. In some cases, fees will double. The JCE announced the increase in order to balance its budget. A story in Diario Libre gives some advances on the new rates.
See the tariffs that are in effect now.
https://jce.gob.do/Registro-Civil/Tasas
Read more in Spanish:
Diario Libre
El Nacional
9 May 2019