Riverside, thump pretty much summed it up... Be patient and get the MEI. You can then do several things to build multi time without even training someone for a rating; Flight reviews, IPC's, Etc. Also study for the rating while you are saving for it or at least before you show up at a flight school. Don't walk in cold and say I want a multi rating. Read and understand all you can before firing up an airplane. There is a lot more to learn about flying a twin properly and safely than most applicants realize. You will also get more opportunities, credit, respect, and credibility by having this rating.