parents are really like that. kung ano alam nilang makakabuti sa iyo, yun ang dapat. afterall, nasa area of responsibility ka pa nila. sa kanila ka pa nakatira, sa kanila ka pa umaasa. so they expect you to play by their rules...
what you can do is to let them know that the place is ok. better if you can take them to that place before you start work so they know what kind of work environment you are expecting to work with. tapos, assure them na everything will be ok, ok na yun. yun lang ang kailangan nila... assurance mo na everything will be fine.
communication is the key there. tell them also that this could be an opportunity and a chance for you to earn money by yourself, responsibly that you can use for your school needs. at least, matutulungan mo sila sa mga school expenses mo or at least, sa mga siblings mo.