Absolutely. If you are eligible for the vaccine and have no underlying complications as diagnosed by a qualified medical doctor, you should be too.
A vaccine doesn't absolutely protect you from Covid, but if you do get it, the illness will be less severe, your chances of requiring hospitalization reduced to almost none, and the chances of dying from Covid in the noise floor.
No, there are no nanobots or tracking devices in the vaccine (if you use credit cards and carry a cell phone, there is no need). The vaccine won't and can't alter your DNA.
No, the vaccine won't make you magnetic. If you've seen the videos that claim this is true, try an experiment. Get a magnet, take your keys out of your pocket, and see how many of your keys stick to the magnet. I have 7 keys on my keyring. Not one is magnetic. Some don't believe every video you see.