I would think WP All Import & WP All Export would help here.
- You can create 1 category, 1 service etc…. (i.e 1 end point) in the website,
- Use WP All Export to export a CSV of the post type in question,
- Edit the CSV to include all of the data you need,
- Use WP All Import to import the CSV into your post type,
- Repeat for each site.