Since this is very near and dear to my heart I'll tell you a little bit about my journey to becoming a plant breeder.
When I was a young child I read the book "For Love of a Rose" (by Antonia Ridge) which I highly recommend if you can get your hands on it. The book follows the Meilland family through several generations of rose breeders and details the creation of the famous 'Peace' rose. The story and introduction to flower breeding got me dreaming of being a plant breeder. Just like you, the idea of creating new varieties of plants really appealed to me. So to make a long story very short... After high school I went to university and got my Bachelor's degree in biology and then my Master's degree in plant breeding and genetics. I then went to work at a breeding company breeding flowers. It's a fantastic career and I would highly recommend it! I like to describe it as the perfect combination of science and art. You don't necessarily have to go to university to make a career out of it, but nowadays it is typically required by most companies.
If, however, you would just like to breed plants as a hobby I would suggest choosing plant species which are easily reproduced by cuttings or tubers (like dahlia's or irises) as this makes the whole process a lot easier. I would suggest learning about basic genetics as well. If you are still in school then make sure to pay attention in science class when you learn about Mendel
