No need for a lawyer. You can do it yourself from in fornt of your computer screen
www.formalizate.gob.do
Though one caveat - register business name through ONAPI website
http://www.onapi.gob.do/
instead of through Formalizate. As silly as it sounds, you get electronic name certificate through ONAPI website which you can just print, but you need to pick up a physical certificate at ONAPI when done through Formalizate.
Because on Formalizate website you enter ONAPI certificate number, you can register it through ONAPI website and then enter it in Formalizate, it will save you one trip to ONAPI offices.
Before submitting your name, check name availability at
http://www.onapi.gob.do:8081/
and also read rule son names... do check with partial and similar sounding names, and also marks. Plus do a name search to see if your intended name does not whow up on internet as a global/international company, also your name must not be generic - those are all reasons names get denied
(for example Refrescos Dominicanos would get denied, but Refrescos Dominicanos Rodriguez would get approved, if it does not exist in one way or another - for example if Rodriguez Refrescos Dominicanos exists, Refrescos Dominicanos Rodriguez would not get approved; also if Refripartes Rodriguez is registered, Refrigeracion y Partes Rodriguez would get denied). You must do a very very extensive search on ONAPI website here
http://www.onapi.gob.do:8081/ you get one chance, then two more make-up strikes to modify if your initial attempt gets denied. For modification, a personal trip to ONAPI is required)
Good luck.