I have been lucky enough to have two native FTTP installs recently, one in a house, one in a flat.
In the house, the install was done in two parts, external and internal. In the external phase, the engineer attached a small box to the outside of the house near the incoming underground feed. I think this is the splice point? I don't know how long this took and I didn't need to be home for it.
For the internal phase, he brought the fibre through the wall from the box, attached the ONT (large white box visually similar to old FTTC modems) and the BBU (tall thin battery backup box). He then modified the existing NTE5 with a Fibre <> Copper switch at the top and wired the incoming feed on the NTE5 to a socket on the ONT. The internal installation only takes about an hour when done like this. I think it does need to be done next to your existing NTE5 if your phone line is to be converted to fibre and you want your extension points to work.
For my new build flat, the whole installation was done in one go - the fibre was behind the wall in the utility cupboard, the engineer took it out and created the small grey box again, followed by the ONT, BBU and NTE5 modification, and then half an hour's work downstairs in the building's communications room. This took over three hours.
I'm not sure who trains the FTTP engineers how to install in each property when they're all so different, but both engineers were very knowledgeable and helpful.
Re ISPs. it is still only BT Retail out of the mainstream group and while they still sell Infinity 1 and 2 on FTTP, they have almost completely backed off marketing the Infinity 3 and 4 (200 and 300 Mbps) FTTP only products. They show up if you put "fttp=yes" in the URL like this: http://www.productsandservices.bt.com/products/broad...
Also note that their availability checker is currently broken for FTTP addresses and has been for over a month - you get a small box saying "BT Services available at x" but then no options appear below it.
The other mainstream ISPs will all tell you that you are "not in a fibre area" if you check your details - in my block, one can get 300Mb FTTP from BT or <3Mb ADSL2+ from the other major ISPs and based on the list of wireless access points I can see, most people don't know that the former is available or don't care...
I've tried to find another address checker on a smaller ISP which will tell me that they will offer me FTTP, but they either don't mention it or insist on a phone number, which you usually won't have with FTTP.
BT Infinity 3 200Mb FTTP