Talk to a Rabbi, they'll be able to walk you through the process.
Conversion requires such an ordained person to help you study in order to become Jewish. Unlike with Christianity or Islam, where you literally only say a line three times to convert, conversion to Judaism is a long term commitment. Depending on the sect, it can take years to officially become a Jew.
None of this requires travel to Israel. I mean, you COULD convert in Israel - there is nothing there to hold you back, obviously - but it's not required. I'd go to a synagogue close to you, affiliated with a sect you truly believe in (if you believe). Unless you live in a nation devoid of Jews, in which case you may need to travel abroad to establish some sort of connection in order to convert. That still doesn't have to be Israel, though.