https://www.lsa.umich.edu/rc/aboutus
You may want to consider the Residential College at Michigan (see attached). It is one way of many that can make Michigan “smaller”. You may need to look at that or other ways of feeling somewhat more comfortable at Michigan, with the costs so much less.
Any of the programs you may switch into at Michigan are top tier/highly ranked. Its a great University to go to when you are uncertain what you want to concentrate in. And you are correct, that it is very easy to transfer from COE to say LSA.