Toolset Migration not migrating everything

This will have to wait a couple of days. I am migrating to a new web host, where I can create a staging environment. I will let you know as soon as this is done.

I have done some testing myself. I have noticed the following:
- The custom post types and custom fields and also the custom taxonomies get migrated.
- The content of the custom fields disappears.
- All posts, regular as well as cpt's get the custom fields of all cpt's added in the postmeta table. So a regular post gets the custom fields of four different cpt's, without any content. The table gets 3x as big! Not good...
I would like some advice please: if I export the posts of the cpt's with the standard WordPress export option, delete all custom posts, create the custom post types, custom fields and custom taxonomies with Meta Box and, after disabling Toolset, finally import the posts, will I get the result I want?