How do I file state taxes for only living in and working there for 6 months?

Sounds like you need to file 2 part year returns?   What states, where did you live during 2023?

These are the most common situations for needing to file multiple state returns:

• You lived in 2 states during the year
• You worked in a state you are not a resident of
• You own property or have business interests in another state

Click this link for instructions 

Here are some common situations where you don't have to file a second state return:

• Interest from an out-of-state bank or account
• Out-of-state employer
• If you earned money in one of nine states that don't collect income tax, but live in a state that does, you need to report the income on your resident state return.
• Your resident and work states have a reciprocal agreement.