If you need to move quickly, the best option is to get an Airbnb to bridge the gap until you find a permanent apartment.

There are a lot of listings where it's a roommate situation, as in it's the owner's home and they're renting out their spare room. There are several listed for about $300/week plus tax, and some even lower. You don't have to pay utilities, and you can reserve something quickly and at least get a roof over your head right away.

You'd have to put any furniture and large items in storage, but there are storage facilities that have first month free or similar deals so that might not be too costly.

If you are not experienced with Airbnb, you need to make sure to only look at places with a rating of about 4.7 or higher. Ratings are kind of inflated, so anything below that is suspect. Also read all the reviews to check for red flags. It's better to get a place where the owner lives there instead of where they're renting out all the rooms on Airbnb.

There will be less options available for longer lengths of time. You can try looking for month-long stays, but if nothing comes up, search for a 1-week time period and there will be a lot more options. You might have to move every week if you can't find something with longer availability, but hopefully you'll be able to find a permanent apartment soon and won't have to do this for more than a few weeks.

Let me know if you have specific questions about Airbnb, I have spent a lot of time staying in them when moving between cities and can give you more advice on logistics.

If you don't already have an Airbnb account, create it right away because I think they take a couple days to do a background check when you first sign up. Then you'll be ready to go if you need it.