Oh that is AMAZINGLY cool. I kinda went nuts on my 37th birthday and bought an XK8 that I will never let go of so long as I can hobble out to it and open the door.
And no, a leather strap is fine. I took the metal bracelet off my Chopard Imperiale and replaced it with leather because the metal one was a bit tight and I couldn't find spare links anywhere. These older watches I think look sometimes better on a good quality black leather strap.
As for a 1960... I've been looking and it's really difficult to find anything that is not already sold or "1960s" instead of the actual specific year. I could always say 1959 since that was my conception date :-). Ah, the summer of 1959. It was warm and dark.
What do you think of these?
http://www.ebay.com/itm/VINTAGE-SIGN...item3a7d51fd84
http://www.ebay.com/itm/Vintage-18K-...item43b6efdff4
http://www.ebay.com/itm/Rare-1960s-R...item1c2ec258b1 (can't tell this one's year)
http://www.ebay.com/itm/STUNNING-MEN...item257968ae9f
http://www.ebay.com/itm/RARE-JAEGER-...item337ef6c342