If you are target market is just the city, why not adding city name in Meta and content on all pages of your website. Also, submit local directories and make sure you keep same NAP ( Name, Address, Phone no.) in all submission.
Apart from this, send out an email to your customers to review your business. Best idea to get review is to ask customer when they call support team for any help. They will definitely review your business if they are satisfied with your service.
I hope this helps.