Pulling data from table with oldest date from 2 different columns

I have a single table with multiple clients who have 2 services that need to be compared via date. One services is a MUST and the other has 5 other possibilities. I need to find the oldest date for the MUST service and the oldest date for the other possibilities for number of day comparison. This is a pull in from another program, that is why it is all in 1 single table. Also, each of the services have their own name. The must is MUST and the other is OTHER. Thank you