For starters, you can recycle what you buy, such as plastic and glass. Clean it and use it for other things around the home. I like to keep all glass jars and bottles to reuse for canned items, cleaning items and other storage. You can also buy shopping totes to use in place of plastic bags. These can be very cheap and even made out of recyclables when purchased online.
Instead of plastic bottles water, get a filter and save glass bottles that tea, some soda, and juices come in to reuse when your on the go. Glass is much safer and cleaner then plastic. Try to buy all items you can stored in glass rather then plastic.
You can also make a decompose heap in your back yard. Keep one small area and throw fruit peels, egg shells, unused veggie parts, ect. This will not only help your yard but the animals who live in it.