Is it true Leonardo da Vinci took the first ever photograph & it of himself & it's known as The Turin Shroud?

Yes.
According to "The Da Vinci Shroud - Revealed",shown on Channel 5 on British TV on 01 July,at any rate.

No. The shroud pre-dates Leonardo, even if it is a medieval fake (& it has been suggested that the carbon dating was inaccurate, because the shroud was damaged by fire and patched up). One theory is that it could have been created by a 13th century photographic technique.

A video message from Ray Rodgers who was a director of the Shroud of Turin Research Project (STRP) that analysed the shroud was recorded shortly before his death in 2005 He states that, after declaring the cloth a fake, he was now coming to the conclusion that there was a very good chance that this was the piece of cloth that was used to bury Jesus.

Wow - wrong is so many ways.

I've heard this theory but I don't believe it. Sorry, I can't back it up with any scientific basis, just what I think.

No. This is just a silly, half-baked theory that's been floating around for a long time. There's no solid scientific or historical basis for it (despite what you may have heard - and despite what a few websites will tell you). The Shroud of Turin pre-dates Leonardo DaVinci by more than a century, and there's no evidence that the Shroud's owners would ever have handed over something so valuable to a struggling artist from another state. DaVinci might have understood optics well enough to produce a photographic image, but there's no evidence that he ever did so (either on this shroud, or on anything for that matter). IMHO, it's just a few wishful thinkers wanting to conveniently tie together two famous elements of Italian history.