Why are you planning to get a private multi? Unless you already have an instrument rating and you don't plan on a commercial. Many schools offer an initial commercial AMEL course and it's alluring, but financially it doesn't make sense. Not to mention the idea of transitioning from a 152 or 172 directly into a seminole or a dutchess is going to be very difficult.
Personally, I would wait for the instrument and commercial single before I went with a Multi. It would be nice to have a little transition from the basic trainers to a Piper Arrow, or a 182 RG, something that moves a little faster, but the change is gradual. Not to mention the fact that you would have many more hours of experience.