As I recall University of Manila didnt have a College of dentistry, but what they had is a Pre-dental Coureses which a 2 years Liberal Arts. I know this becouse I attended one semester and was the worst time of my education life, but that is my old knowledge speaking. But if you want to study out of USA you should only join thoes that is not only well known in theire respective country but also here...Don't worry about admission , they will help you through all your papers also with the Student visas afterword.
So you got your self two name:
1) Universtiy of Phillipines ( #1 in phillippines)
2) University of the East ( # 1 in the eyes of all graduate students, #2 in Phillippines)and is associated with NYU.
And ofcourse there are other Universities in Manila and in Provinces. But Know this that once you gone out of the city or the capital the standard will be lower slightly. And even in Manila there is other 3 or 4 universities that didn't even meet my standard 😀 .
Life and Immigration procedure is piece of cake.. with the Inflation rate that is very high, so you will get higher rate if you change the dollar in the Black Market.
Well I hoped that helped