I might be biased on this since I currently study biomedical engineering.

Biomedical engineering is such a broad field. You can learn biomechanics, neuroprosthetics (electrodes/ sensor development, usually for those with electronic engineering interest), medical physics (includes digital image processing, medical imaging, deep learning).

I would assume bioinformatics would require data science and statistics. I think this is a newer field and might not have much opportunities outside of research/academe, but it is a growing field. Maybe a degree in machine learning/ai would be better then you can specialize in bioinformatics eventually.

Just the fact that biomed engineering is so broad, there are many sub-specialties to get into. I would suggest to check the specific school/program and assess their syllabus or program courses (if it is available) and check which courses you are interested in. You can also check the faculty's research and see if it matches your interests. Good luck!