Tips for a tourist in Odense

Hi everyone, I'll be in Odense for 2 weeks in August.

I've heard that public transportation is pretty expensive in Denmark, but I'm not a fan of bikes. Is there any weekly or monthly public transport ticket for tourists that's not as expensive? What is the best way to move around Denmark? And where do I buy bus and train tickets?

Any kind of tips and help, in general, would mean a lot!