The domain name itself is not what would determine if it is popular with the search engines but the website that you build an a particular domain name.
How popular a website would be with the search engines, especially with Google, would depend on how good the content of the sites is, how good the on-page and off-page SEO (search engine optimization) is, how easily the search engines can crawl and properly index your site and some other factors.
The domain name itself rarely has much if any affect on how much the search engines like and rank a particular site.
Getting a domain site depends on your budget and your needs. There are a lot of domain sites that offer different packages. I suggest you examine each and every one of them carefully and study which one best suits your plans. Now to get your site to be popular is another matter to study as well because there are also tons of companies that offer these kinds of services.
Domain name popularity depends on factors like visitors, alexa, design, architecture, contents on the website , images and number of links pointing to your website, social site linking. You will need to review the all links connected to your website. You should remove the bad links that is spam links. Internal linking should be proper.
Use the as much as top ranked keywords. Keywords used t play the main role in domain popularity.
Your website should be responsive that is it should load on mobile and desktop version. Page loading speed should be proper for that you should optimize your website.
So you will need to concentrate on all these factors to increase the popularity of your domain.