@Loree M Sargent,
Different states have differing court structures, but usually it goes from some sort of civil or family court (often with a jurisdictional or case-type limit), then up to a regular trial court, then an appellate court and then a supreme court. That's at the state level but that's generally how it goes: three or four levels. If you want specifics for a certain state, please specify the state.
Federal is District Court, which is found in one state. Every state (and DC, plus the US's possessions) has a District Court. Appeal from that and you get to Circuit Court. Not every state has a Circuit Court. There are
eleven of those. Then above that is the US Supreme Court which is the highest court of the land.
But not every case can conceivably get to the US Supreme Court as not every case is one where the court has or will take jurisdiction (e. g. if it's not a question of federal law, scream all you want but you won't be getting to the US Supreme Court). And for cases where there is jurisdiction, the US Supreme Court still has to grant certiorari. What that means is that the US Supreme Court can decide whether it wants to review a particular case. This discretion is allowed because not every question that could conceivably hit the US Supreme Court is worthy of consideration. Plus, let's face it, they are 9 older folk and time is at a premium. They are not going to hear a case of an interstate auto accident unless that presents some sort of novel or questioned or conflicting or confusing constitutional matter.