University course advice

Can anyone provide any practical information on the differences or pros and cons of doing a MEng in computer science and software engineering vs doing doing a bachelors then a seperate MSc after that. For example like whether they are generally equally as recognized, does one look better to an employer, which can lead to more diverse jobs if any, etc. And the country that I'm wanting to get a job will probably be in Europe but let's say like any place in the world to be sure.