Step away from the dry cleaners. Here are some ways to avoid dry cleaning's harsh cleaning agents, and all the plastic you get back with your dry cleaning.
Hand wash in cold water.
Your clothes will survive. I just use a bar of soap, and rinse with cold water.
Wash your knits less.
Wool sweaters don't need to be washed after every use. Wear a T-shirt or cami under sweaters to keep them clean longer. Here's how to hand wash woolens.
If you aren't familiar with Plastic Free July, take a look at this post. Basically, it's a month-long challenge to reduce the amount of disposable plastic you use. It's a great starting point if you just want to give cutting out disposable plastic a try.
My first Plastic Free July was in 2013(!), and this month I'd like to highlight some of the things I do to reduce my plastic use, and some struggles. Many things are part of my routine at this point (buying in bulk, refusing plastic silverware, etc.), but I am not perfect, and I always find this challenge to be a good time to refocus and look at what trash I am actually producing.