You've given me an idea...If you want cheap and easy, take your 24 inch chicken wire and just fold it every 4 feet to go around the raised bed (4X4 bed), You could use zip ties to connect the ends. Than just put a stick in the soil, through the chicken wire, and done! I have a couple of those simple barriers and they have been in use for at least 5 years and still work great.
To keep out the birds and/or deer, just take some more of the 24 inch chicken wire and put it across the top of your wire. Again, cheap zip ties would serve well to hold it together. I have a couple of those "critter protective cages" and they work just fine.
If you want something with a little firmer structure, you could build a simple frame out of 2X2 lumber and attach your chicken wire to the wood frame.
Google picture of that concept, just cut to your dimensions...
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I have both 4X4 and 4X8 raise beds. I made all my critter protective cages 4X4 foot, and will just double it up for a larger 4X8 bed. They are easy to move and as long as you have beds that are 4X4 or some multiple of that, then you can just easily move the frame(s) to a different raised bed as needed.
Way back in the day I used metal cage clips and/or wire from a spool to tie my chicken wire together. But honestly, lately I'm using zip ties for just about everything because they are cheap, easy to use, and easy to cut off if you want to use the wire in some other project. If you want the zip ties to last longer, make sure you buy zip ties that are UV rated for outside in the sun.