For all the more these cars get driven, do as described previously. What is most important on a TR3 is to get grease into the trunnion/lower wishbone joint. The journals are quite small and hold very little grease.
Should these joints seize, the results could be catastrophic.
When I bought my car years ago, I thought I got grease into the entire front end, but due to poor maintenance prior to my purchase, I didn't get it into these journals. Result? A three wheel adventure in the medial strip of our local interstate at 65 mph and a couple months of body work and rebuilding.
The service manual recommends lube intervals of 1000 miles.