I like the Eco-Washup. The name is sober and gives a company the necessary
dose of credibility, required for a durable success in the business. On the
other hand, also Urban-Green sounds nice, as it is a great combination of
concept. The emphasis put on green, make me think of a clean, eco-friendly
activity.

My first thought is that you are a car wash or maybe eco-friendly laundramat.
To be effective, your business name should include what you do, such as
Thirsty Bubble Carwash or Urban Green Laundry Center.

Depends on what the nature of your business is. Your business name would
define what your business would be, as well as the services that your
business does offer.

When I read your business names, I think your business is a ... laundry shop?
Not sure.

I choose my names based on the number of global searches people have made on
Youtube. That way it is easier to SEO my website to get the traffic from
those searches.

You can find out how often people are searching for specific terms by using
the Google AdWords keyword tool. It will also show related keywords

Remember that most buisinesses will need an online presence (website, facebook page, etc) and if your business name includes the keyword and\or industry that your serving, it will help tremendously in terms of internet advertising and search engine marketing. The names you threw out makes me think of a (car) washing business but as a consumer, I shouldn't have to ask.