Sign companies can specialize in design, installation, production, maintenance, and even the securing of permits. Some will offer all of the those services, while others might only offer a few.
Choosing the right sign company is best summed up by the following excerpt from the article How to Choose a Sign Company (https://www.signs.org/SignIndustry/Signage101/HowtoChooseaSignCompany.aspx):
Shopping for a sign company is just like shopping for any other company. Look for signs you like and ask the business owners to tell you who built it for them. Look in a directory such as the Yellow Pages, or check out the various organizations referenced in this booklet.
It is a good idea to comparison shop, look at examples of signs the company has built and decide whether the company is capable of meeting your particular needs. Cost, quality, and follow-up service are obviously important considerations, as well as the variety of other services that may be included. For instance, securing a sign permit can be a challenge to the inexperienced small business owner; an experienced sign builder will handle this process more easily.