You can register .ro domains and every Romanian extension (.com.ro, .info.ro, .org.ro, .store.ro and more), plus international ones such as .com, .net, .org, .e...
You need a web redirect, rather than just a DNS change. DNS tells browsers where a service is hosted, but does not itself redirect visitors to a different web address. You can set up the redirect through a service that provides this feature or on the server your domain points to.
A 301 redirect is generally used for a permanent move. Check that it works for both the bare domain and the www version. If visitors access the original address over HTTPS, that address needs a valid certificate so the redirect can work without certificate warnings.