Hello, and welcome to Providence. There are MANY ways that I can answer this, but of course, this is about you, your wants and your needs. I live in Providence. I am on the North Providence border. Since you do not have children at the moment, then schools shouldn't be a something you would need info on....unless, you are planning on having them in the future. Buying a home is a long term investment so if there is ANY possibllity of having children, you might want to take that into consideration.
That being said. The property tax is higher in Providence. Both East providence and North providence are great. Do you prefer being close to the water? What are your hobbies. East Providence has a great bike path, while as you know, North Providence has everything a person could want entertainment and shopping wise.
Providence itself has the best night life and restaurants, and of course, if you are commuting to work, that might be the most favorable option.
Again, there is a lot to consider up front, however, with a clear vision of what is important to you, I am sure that buying your first home will be an enjoyable experience and a wise investment in your future.
I can always be reached at 401 474 3401. If I dont hear from you, I wish you success on your hunt for a new home.