Selenographic co-longitude- for those unaware- which is the lunar longitude of the sunrise terminator is very accurate for indicating the the position of the Sun because it has been corrected for the Moon's librations. Using Virtual Moon Atlas (for example) which allows one to configure his/her location on the globe, one will get a calculation nearly very accurate of the selenographic co-longitude from that locale as time zone is also factored in. I don't think it gets any easier .
As far as UT- must have too for critical scientific work but it must be start and finish info in order to interpolate Co-longitude span. I usually indicate the mid point.
More information is useful of course such as I like to record the distance from my locale to the moon. This could help me determine telescopic resolution- approximately.
In my little world , and for purposes of sharing observations the above ball-park data will help eliminate any guess work... so I could, say go to an archive and search for lunar record say of a crater, and then further, find one that is close to same selenographic co-longitude.
Larry Todd and I both possess the same type of telescope- we both use a mirror diagonal as well. Even still Larry is down in (NZ) and I in (NY) we could share observations using the all important Selenographic Co-Longitude.