Jim:
From a resident "Kenmorestorian"...... the set that you are talking about is in fact a Lady Kenmore set.
But be advised though, this set overall, was produced between 1969 and 1975.
Now..... about the differences......
If the washer you are talking about has two rows of push buttons with colored stips on the top and bottom of them (depending on how the buttons are positioned on the panel), has a curved metal handle on the lid and has a color matched detergent dispenser that is protruding from the rest of the washer top and is at your right when you are facing the washer, then it is a 1969-71 (they were first introduced in the Fall Of 1969 as a 1970 model) model.
If the washer you are talking about has a notched lid instead of a lid with a curved metal handle, has a Vari-Flex agitator instead of a Penta-Swirl agitator and had a Triple Dispenser on the right when you are facing the washer, then it is a 1972-73 model. Also note that the 1969-71 model has colored strips on the push buttons, the 1972-73 model does not.
Also, it is worth noting that the 1969-73 models had a three speed motor on it.
Finally, if the washer you are talking about has wood looking push buttons, has a Penta-Swirl agitator instead of a Vari-Flex agitator, has a larger tub and wash basket than the 1969-73 models and has a two speed motor instead of a three speed one, then it is a 1974-75 model (the last models of this series).
All the Lady Kenmore models that I have just described DO have a wood looking flip down cover to conceal the controls when they are not in use. The flip cover also lights up the control panel when the cover is raised.
I thought I have mentioned the covers as well, because from 1969 through 1971, the #2 Kenmores also had the two rows of push buttons with a click stop cycle timer (just like the Lady Kenmores of that era did), but they looked more like the 1966-67 Lady Kenmores (with exception that the 1971 dryer was a further departure from the 1966-67 Lady Kenmore version of the same dryer).
But as you have mentioned, your machines have flip down covers on them. So those are in fact Lady Kenmores.
Just thought I give you a history lesson on these fine machines before you get them, so you know what to look for to determine the exact vintage of your particular models.
Good Luck and Enjoy Your Machines...... Those were some beautiful machines back then....... and they are still beautiful even today.
--Charles--