The hosted version is set up to do Travis CI, like the defuncthomu.io was, but you can configure it to do anything that uses Github Status to report when it successfully builds a branch (AppVeyor and Circle CI, for example, should work). It can't do more than one, though.
Your interpretation of the situation is correct. Aelitabot.xyz is going away in about a month.
As for whether Bors-NG is experimental, that really depends on how you define "experimental." I've committed to the interface (bors.toml, bors r+, etc) enough that there won't be regular breaking changes, but due to #64 I wouldn't recommend for rust-lang/rust to move over to it yet.