Use washable wipes instead of disposables. They are very effective and can be used again and again.
Some examples are:
You can also reduce the amount of wipes when you are out and about by using a nappy wipe spray. It can be sprayed onto a disposable tissue or piece of toilet paper.
One example is Harry and Rose nappy spray.
If you still prefer a throw away option, try going for biodegradable wipes.
Some example of these are: