Cable Lube

Hi all, as a new owner of a '72 Daytona I will probably have a lot of questions for those of you who know about these things! My first one is a simple one about how best to lube the speedo and rev counter cables. The speedo particularly is all over the place and although usual vibration will always make it jump around a bit, it is excessive at the moment. Before I do anything else I want to make sure the cables are cleaned and "oiled" as best they can be. Back in the day (I used to have a 5TA about 40 years ago!) I just used 3 in 1 oil, but things have probably moved on a bit. I read that white lithium grease could do a good job? Interested in what folks here use. Many thanks.