Our company purchased this abc.com domain from a local registrar.
The domain will expire in about 3 weeks.
We have our main websites running on this abc.com domain and they cannot be down for too long.
The web hosting service will end in 2 days.
Our websites are already hosted and they are up and running on Amazon EC2.

We would like to transfer the domain to GoDaddy now or as soon as possible.
(since we have many other domains there and we belive GoDaddy will be better in long-term considering the prices and the features it offers)

There are many questions on the decision to transfer the domain to GoDaddy:

1) Cost and time required to move out of our local registrar?

• This is currently unknown as I'm still trying to retrieve the agreement we have with them

2) How does the 3 week time left until expiration of the domain matters here?

• Should we wait until the domain expires and then purchase in through GoDaddy? How long would such process take as I suppose our websites will be down during that time? Any other drawbacks?

3) What can I do to ensure our websites will continue functioning regardless of the domain transfer process?

• It seems the actual registrar here is enom.com and the local registrar here just partners with it
  
  • I suppose I should then park the abc.com domain with enom.com and make changes to DNS settings so that our websites can continue to be hosted on EC2 as normal.
• How long does it normally take the domain to be transferred to GoDaddy completely?
• Is it even possible at all to keep our websites are up and running during the whole domain transfer process?

Apologies that I'm throwing many questions at the same time here.
It's rather last minutes and I suddenly realised there are too many unknown risks.