MySQL database repair (converting data from latin1_swedish to ut8_general_ci)

Hello, I have a problem with one database that i need to migrate from old oscommerce shop to prestashop. On old shop entire database and tables are set to latin1 charset and latin1_swedish_ci, but for my alphabet tables and data should be set to utf8_general_ci.....and there starts the problem.... On the frontend and administration of oscommerce shop is everything fine, but in db all entries with my alphabet's special chars are broken, instead i see some weird chars like è, æ, ¾ , ©.... for example we have a name: Some_name and instead of these chars we have ¾ome_nam©....just to illustrate the problem. So, i need someone who can convert/repair data encoded in latin_swedish to utf8_general_ci Happy Bidding!