It may depend on what county you are in and what kind of county court it has - jurisdiction of individual county courts varies widely. Criminal cases heard by Constitutional County Courts include some Class A and Class B misdemeanors. Constitutional County Courts may exercise exclusive jurisdiction over some misdemeanors and may share jurisdiction over certain types of cases with Justice Courts, other County Courts and District Courts. Criminal cases heard by County Courts at Law include most misdemeanors. County Courts at Law may have exclusive jurisdiction over some misdemeanors that do not have a potential penalty of incarceration. County Courts at Law may also handle violations of health or safety ordinances. For specific information regarding the county courts in your county, see the related link.
Misdemeanors and civil cases
indictment and presentment
Arkansas Circuit Courts have jurisdiction over civil cases with claims over $100. District Courts handle all civil cases with claims of $100 or less, and don't handle civil cases with claims over $25,000. For civil cases with claims between $100 and $25,000, both courts share jurisdiction. How they split them up varies from county to county. For criminal cases, Circuit Courts hear most felonies and some misdemeanors while District Courts hear most misdemeanors. Circuit Courts can refer criminal cases to District Court, but not vice versa. District Courts also handle traffic tickets and local ordinance violations. Circuit Courts usually handle all domestic relations (divorce, custody, support, etc), juvenile, and probate cases. There are actually two types of District Courts: State District Courts and Local District Courts. If all parties consent, a Circuit Court may refer a civil, family, or probate case to a State District Court but not to a Local District Court. The related link below has more details about Arkansas courts and the types of cases they handle, as well as contact information and resources for courts in each county.
Traffic cases are heard in traffic courts. Sometimes, these limited jurisdiction courts also hear low level misdemeanors.
Probably Misdemeanors depending on the serverity of your cirme.
(country courts)
Civil court usually has a higher jurisdictional limit (max you can sue for) and attorneys are allowed to represent parties. Civil cases may also have jury trials and other procedures more conducive to attorneys and not pro se (self-represented) litigants.
Municipal courts handle less serious crimes like traffic offenses.
In the United States the lower courts are trial courts: the courts that first hear or try cases both civil and criminal. The decisions in lower courts can be appealed to higher courts.
The states divide jurisdictions between state courts in their own manner. Where I live, felonies are heard in superior court and misdemeanors are heard in another court.
Those courts are called courts of General Jurisdiction.