Each and every state within America has its own state legislature. These state legislatures are bodies which are made up of an assembly of representatives of some form, who then vote on important legislation which could then be passed as a law at the state level. Each of the state legislatures would thus obviously only have legislative power over the workings of that state in particular, as opposed to having power over the workings of the country as a whole, like Congress would have. A state legislature would also only include representatives elected by the citizens of that particular state.
The legislative bodies within most states are known primarily as either “Legislature” or “General Assembly,” though there are some additional terms which vary, such as “General Court” or “Legislative Assembly,” depending upon the state in question.
Furthermore, all of the state legislatures are actually bicameral bodies, making them akin to Congress, which is technically a single, bicameral legislature. In other words, as bicameral legislative bodies, they are made up of two different houses. The only exception is Nebraska, which has a unicameral legislature, meaning that there is only a single house within its legislature.
This means that most state legislatures still consist of an upper and lower house, with the upper chamber generally being smaller than the lower chamber, though this is not certain. State legislatures might have the exact makeup of the legislatures determined by county divisions, in a fashion similar to how Congress has its makeup determined by the states.