Business Name Ideas - Need help

Hey Everyone. First time poster but happy to find this site so I can kick around some basic business questions and ideas and get some feedback. I appreciate anyone that takes the time out to respond or give me input.. so thank you.

We run two small businesses here. Both are similar so we are looking to combine it under one main name. Our one business is a diaper service with a generic name and the other is a commercial laundry service with the name Green Clean Laundry Service. We would like to rename the diaper service so it is under the Green Clean name but our concern is about using the term Green in a name. Growing up, my family always thought Green meant more expensive and didn't work as well so I don't want to alienate people before they even try us. We offer much more than just green cleaning options but again, need to get them to call or go to the website to find out more without judging us. we like the way the name rolls off the tongue and have been using it for a few years on that side of operations with steady growth. Any thoughts on using the term Green in a title.