I'm on day 10 of covid, vaccinated, i still have this cough especially when i move and feel like everytime i take a deep breath i cough, is this normal with covid? my oxygen levels are normal?

This is not an unusual story. Your cough may be predominantly from irritation of the trachea since inspiration can cause it & it's a dry hacking cough & fortunately you don't appear to have lung involvement. Normal oxygen saturation is a good sign. Continue moving about. To reduce a dry hacking cough taking a cough suppressing syrup like cough syrup DM. You may want your MD to examine & advise you