Hi
I did mine a while ago
and it can all be done online within a few days
I bought mine off dvla, you get the certificate through in a few days and they include the transfer
then you go online and swap it over, it automatically does the v5 log book, which comes through a few days later, your mot is done and tax, pop your plates on and job done
got my plates online and they arrived together, all done within 3 days
save your old plates, because if you transfer your plate, the old number plate usually goes back
cheers
Joe