I am in a South-Eastern European country and I don't have a degree in a related field, but I didn't have a hard time finding my first programming jobs.
Keep several things in mind:
1. Good developers are in demand. If Eastern Europe is anything like the Balkans in that regard, people are looking for competent programmers. At any particular job interview for a programmer most of the people who apply don't know anything about programming, have never used a relational database, etc. Use that to your advantage.
2. Small companies don't have HR departments to veto you just because you don't have a degree or enough years of work experience.
3. You have 6 months to beef up your resume. You can always invent free-lance work, as long as you have knowledge to back it up.
4. You can always find for-peanuts work on various "hire a freelancer" website. You will not earn good money there, nor will you get any enterprise application experience, but you will have an "Aha!" moment if you never programmed for money before. When you are developing as a hobby, you tend to adjust requirements to your knowledge and spare time, but when somebody else gives you requirements, you will quickly discover how to learn quickly and do things efficiently. That's what employers want from their programmers.
5. When negotiating a salary, keep in mind that the price you suggest will tell a lot to your employer about what you are worth. I know this may be a mistake, but when I was interviewing people for jobs, I took more seriously people who expected higher-than-indurstry-average salary than people who wanted to work for peanuts. If you come to me and ask for a salary that's half, or a third, of what I know most company in my city pay their developers, I will assume that you don't have much experience.