I mean, is it any different traveling abroad as a dual citizen between two nations (carrying both passports with you) or does it remain the same as traveling with only a single passport? Are there also complications of possessing two citizenships during times of crisis? (Like who takes charge when something occurs from war, natrual disaster, kidnapping & ransom, etc.).
The idea of being a citizen of two countries sounds good but can come with caveats when you take into account of diplomatic reciprocity or foreign relations, whether both countries are friends or enemies. Some countries forbid dual citizenship (like Japan or UAE) while there are countries that allow it (such as UK or USA).
You should enter and leave the country with the same passport (important if your country checks passports on exit), but you can switch it up en route. Generally if you need help with something in one of the countries of your nationality you go to that embassy, for example if a disaster hits and you need to be evacuated, whichever embassy would attempt at assisting you to get to that nation.