The amount in dispute and the relief you need decide the court.
District Court. Under R.I. Gen. Laws § 8-8-3(a)(1), the District Court has exclusive original jurisdiction of civil actions at law where the amount in controversy does not exceed $5,000. Under § 8-8-3(c) it shares jurisdiction with the Superior Court from $5,000 to $10,000, and any defendant may demand removal in the answer. For a money claim up to $5,000 on a contract, a retail sale or service, or a negotiable instrument, the plaintiff can elect small claims by waiving appeal under § 10-16-1. Our Rhode Island small claims court guide walks through filing, hearing and collection. Providence County District Court sits at the Garrahy Judicial Complex, 1 Dorrance Plaza.
Superior Court. Larger claims, and any claim for equitable relief such as an injunction, specific performance or LLC dissolution under § 7-16-40, go to the Superior Court, as does a complaint to enforce a mechanics' lien under § 34-28-10. Providence County cases are heard at the Licht Judicial Complex, 250 Benefit Street. Kent County cases sit at the Noel Judicial Complex in Warwick, Washington County at the McGrath Judicial Complex in Wakefield and Newport County at the Murray Judicial Complex.
If the customer who owes you is in Massachusetts, small claims there covers claims up to $7,000 under M.G.L. c. 218, § 21; see our post on unpaid business invoices in Massachusetts and small claims.