Is there an easy way to send different welcome emails to users with different access levels?

We are using WP 3.5.1, BP 1.6.3 and Membership on our site.

Up until now we have only had one type of user registering, but soon we will have two different types of users.

Is it possible to set up different welcome emails based on which access level they subscribe to?

I would really like to give our premium subscribers a bigger thank you, and send the free subscribers a reminder that they can upgrade.

Our members that we are adding soon will need a totally different set of instructions.