> In my experience, it's always taken at least a few days to transfer registrars, even with an EPP code in hand and instantly responding to confirmation emails
It should take no more than an hour, usually less. If it's taking more than that something's gone wrong or your registrar is manually processing what everyone else does automatically.
I moved a couple dozen domains from GoDaddy in December... all were at their new registrar less than an hour after I confirmed the transfers.
One thing for people to check when choosing a new registrar is whether they have a way to "ack" a request to transfer out (in case you want to leave at some later date). Some registrars don't and that can mean either trying to get customer service to do this or waiting the default period.
Note that there can also be a delay with the new registrar that you choose putting the domain into whois as well.
It should take no more than an hour, usually less. If it's taking more than that something's gone wrong or your registrar is manually processing what everyone else does automatically.
I moved a couple dozen domains from GoDaddy in December... all were at their new registrar less than an hour after I confirmed the transfers.