The first one, an important detail: when you are putting your foot underneath his armpit, make sure your heel is underneath or tightly pushed to your opponent's chin. This will allow the lock-down to be easily set-up.
The second one is a bit different and in my opinion somewhat easier to execute than the first one (the first one feels a bit riskier, especially when the foot is going underneath the armpit).
We also warmed up with some take-down techniques, but I did not captured them on film ://. I am planning to go on Wednesday again if nothing unplanned happens at home :))
Peace and luv