My take...
I don't entirely agree with some of the info on here...going to work for a ground handling company has very little to do with being a flight dispatcher (ops bod in UK). If you go down that route you may find yourself in a long queue of people who are already there waiting before you to get in out of the rain. You could end up stuck in what is a relatively low paid job for a very long time indeed.
Once you have your licence then flexibility and contacts are everything, not dragging your freezing arse around a ramp in December.
Flexibility...be ready to go where the work is, be willing to take the short term contract even if you're not sure what you will do afterwards.If you insist on staying put and looking for work at your local airline you might be lucky but then again you might not. Get experience, it will lead you places and eventually when you have enough experience you will be able to confindently throw your CV in the ring for all those jobs you just weren't experienced enough for before.
Contacts...get to know people online, join Linked-In, join some of these forums and member groups that are there and start to get to know people.There are several flight dispatcher / flight ops officer federations out there, join one. By doing additional courses and attending seminars (some of these are free or inexpensive) you will MEET people who are already in the industry.
The first one is always the hardest, don't waste time out in the rain...
Just my 2 cents
Best,
D.O.G