I moved house last year. The main phone line is in a bedroom as the house used to be two flats - not ideal.
I am thinking of getting BT Infinity as it has just moved to my area. Ideally I'd like to move the master socket to the study. This would mean rewiring from the external BT 'box'. I don't want or need any rewiring/extension cables inside the house (except maybe to put the phone in the hallway but I could do that myself).
Will I able to ask the engineer to do this as part of the deal on the Infinity installation (so I don't have to pay for an engineer's call)?
The Infinity install includes moving the master socket to a place/room of your choice. As stated above you will need a power socket there. But there have been a few posts on here from people who did not get this repositioning from the apparently rushed OR engineer. I don't know whether they will do the wiring externally as you wish but you may hit the jackpot if the OR tech is given enough tea & biscuits.
Moving the master socket or changing internal wiring is at the discretion of the engineer on the day of the visit; all the engineers are obliged to do is change the faceplate on the master socket (or the entire master socket if necessary so that an NTE5 is in use and can take the new faceplate), install the modem and router and ensure there is a working service before they leave (i.e. demonstrate to the end user, usually by running a speedtest). If extension cabling is required or if the end user requires the equipment to be located away from their master socket they can install a Data Extension Kit for this, however as I'm sure you're all aware some engineers prefer to use pre-existing internal wiring for handiness - it just depends on who you get and whether your existing internal wiring is of a sufficient standard. A general overview can be found here.