It is best to start checking the domain when you have an initial list of names that are supposed to be for your own site. Strong feelings about the domain zone are not needed. First, just write the desired names for the resource so that the list is at hand, so it will be easier to check the domain for availability.
When searching for "vashsite", as a possible variant of the domain, the name is entered into the search field and "Check" is pressed. Upon receipt of the response "The domain vashsite.ru is free!" you can go further registration.
You may receive an answer about the availability of this domain, but below it will be reported about its availability with other extensions, for example, .org or .net.
Interesting moments come next. The checker, along with checking the domain by the entered name, offers other options that are available. There are quite interesting alternatives that give new ideas that can be used as a suitable result.
The domain can be checked many times with different options, as far as the user's imagination is enough. And understand that immediately after choosing the right option, you need to start registering as soon as possible.