Yes, you can transfer the domain to us. Most of our clients prefer to have all their eggs in one basket, so to speak. It is much easier for us to manage our client's domains than having to ask you to make any changes on the domain registrar.
As the domain is the point of an upside down pyramid, your website and emails will stop working if your domain expires. We have checks and balances through our client portal to ensure that your domain doesn't expire.