Hi There,
Teline II to Teline IV is not a migration. These are two different templates with different modules / plugins / framework beneath them.
The only way to do is to install the Teline IV template and related extensions and configure them as per the screenshots in the userguide (recommended).
At the same time, JA Zin plugin is no longer used in Teline IV template and for Joomla 1.6 JA NewsFP & JA News is now JA News pro and JA News featured.
Please dont be confused by the similar name of the templates, you will have to do the template update manually and you should take due backup before you try the same.
IF you wish to get it done by paying someone, you can put your requirement to Joomlancers.com, may be you can find someone to help you with the same.
Arvind