Hi, InCaseOfZombies!
Are you in Glendale, CA. or Glendale, AZ? If you are in AZ, please feel free to PM me anytime you have a climate specific question, we can suffer through desert gardening together! Also, MarlinGardener lives in TX and has helped me a lot with advice, so look for some of those posts! Everyone here is really nice, you'll like it!
Your balcony garden looks great! I am so in love with your worm factory! Looks much better than the one I made!
Here in Tempe, my romaine and some of my red leaf lettuce is bolting, so try to keep it out of the sun as much as possible as it's starting to warm up.
You can use tomato cages for the peppers, they will need the support. I pretty much agree with everybody about the tomatoes. Let the indeterminate ones grow over the railing and out onto the deck. Just stake the bushing ones and tie them off when needed.
If you find you need to cage your potted Early Girls wait until you pot them up (they will need 5-10 gallon pots) and fill the pots with soil, then push in 3-4stakes at key poinst around the rim Think triangle or square) and firm the dirt around them. Put one central stake in the middle, plant the tomato, tie it to the center stake. Then wrap those outer stakes with chicken wire or that plastic fencing used on construction sites and tie the cage to the outer stakes. I use the plastic fencing because I think the metal cages get too hot where I live. Your tomatoes will outgrow the pre-made tomato cages very quickly.
If your green beans are pole beans they will get big and will need to be caged just like the tomatoes, but the bush beans are good candidates for the premade tomato cages, as are eggplants, ffr.
I'm excited for you!