2 and a half weeks, mine was a bit more complex because my share holdership status in the family business but I would allow 10day to a couple of weeks depending on who you are getting it from
Once you get that sorted it's alot smoother, just make sure you phone every single day otherwise they do not do anything, keeps the vendor happy if you can give the estate agent a running update on what's going on, don't forget to get a solicitor for the searches etc, which I wouldn't start until you have had the survey done, we lost alot of money as the survey came back bad, so lost all the money for the searches and the arrangement fee on the mortgage aswell
Also with the mortgage don't just look at monthly repayments, look at the arrangement and booking fee, and the cost or valueation/survey
You probably know most of this but it's what I have learnt going through the process, so you don't make the mistakes I have
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407BHP and 340lbft
TD GT28/32 hybrid turbo, 3inch decat, 2.75inch exhaust, air intake + large MAF, injectors, fuel pump, tubular manifold