The job will impact your ability to buy. As you said, buying will also tie you down for a while, since it takes longer to sell when you want to move.
I like renting because maintenance and yardwork are included. But pets require extra deposits and fees (plus breed and size restrictions). They can be more lenient about the job as long as you can show a reliable income. After you move in, you can change jobs, and no one will notice.
If you remain in-state, consider moving away from cities. That is where the higher prices are. I have found that smaller towns away from the suburbs can be more affordable.
Do some searching online on sites like Zillow to get an idea of what is available and what the prices are. You might spend more money commuting to work and appointments, but that is balanced by the lower mortgage/rental rate.
Good luck!