Qi Ming University is beautiful, and the architectural style of the whole school is very good. The school is ok, not particularly good but not particularly bad. This school is famous for its art. But because it is a private university, the tuition fee may be higher than that of the country. If you get good grades, you should have a scholarship. Every major system is different.
When choosing a school, you should consider your hobbies and financial ability. Theoretically, it is better to go to Seoul for Korean majors. Seoul is big and Foreign Studies University is famous. Some national universities, such as Jeonbuk Chungnam Jiangbei, are local, but because they are national universities, the tuition fees are relatively low and the schools are not bad.
Daegu is ok, and it belongs to the third largest city. It is particularly hot in summer and is the hottest city in Korea.