Probably the best advice (again) is to go to a school that trains multi-students. Many of them will pay for your MEI or offer it at reduced rates to their instructors. Then you build the multi-time.
There are other good suggestions here as well.
Something to think about, if you are planning on doing anything other than low-end flying or staying in the same position your entire career, being a professional pilot is a constant "back and forth" of learning and teaching.