2 weeks ago i have some problem with my Prestashop store and it ran so slow. To speed up i migrated it to Magento by Litextension tool as advice of my friend. Luckily migration process ran perfectly. And it's also so simple to do.
If someone have the same wonder like me, you can refer this link: http://litextension.com/shopping-car...o-magento.html
or the module: https://www.youtube.com/watch?v=MJ6qUuZdhPg
Good luck!