The symptoms are Dry cough, Fever, and shortness of breath. Most people are stating that it starts with a dry cough that doesnt produce mucos. I know me I have had a cough and headache issues for over two weeks now. However, I always have allergy issues right around this time of year. Therefore, I am not concern. I would say if you dont have fever nothing to rush out and be checked for. Be cautious though if needed and get checked.
I also get allergies when the weather changes - congestion, headaches, etc.
One key thing between covid and a cold is a fever. If you have a fever, call your local health dept or your doctor - whatever the protocols are for the area you're in.
Check out this World Health Organization (WHO) site. It's got a lot of information, including a list of symptoms that include, cough, fever, nasal congestion, runny nose, aches/pains, sore throat, diarrhea. Although some of them may be mild and not everyone will get all of the symptoms.
It's quite likely you have a cold, but if you've been around someone who may be have tested positive for COVID-19, you should talk to your doctor about getting tested.
I really like this chart too that compares the different things people may have right now, corona, flu or cold. https://www.health.gov.au/sites/default/files/documents/2020/03/coronavirus-covid-19-identifying-the-symptoms.pdf