If possible, walk or drive yourself to the healthcare facility. If someone else in your home is sick and can drop you off, that is another good option. You want to try to avoid exposing others to any germs you have, especially if you are seriously ill.
If you have Personal Protective Equipment (PPE) like a surgical mask or N-95 mask, you can wear that to prevent exposing others. If you don’t have that, you could use a temporary method such as wrapping a clean scarf around your mouth and nose to try to reduce droplets when you cough and sneeze.
Although this is not an approved method, it is something you can do to avoid exposing others. Just do the best you can.
[Updated 3/20/2020 9:00PM]