If it's your first year I would stay on single brood as it makes inspection so much easier.
You'll notice when the drone population hits peak and it probably won't be until around May, so don't panic, you have plenty of time.
When we're into the spring you can start your weekly inspections,
once you start to see Queen Cells you'll know that it's time to act.
There's no definitive way to carry out a split, over time you'll find a method that you're most comfortable with. If your main objective is to increase the number of colonies, then transfer an unhatched queen to your nuc, with a bunch of stores and some bees and you should be away. Unless the new queen dies on her mating flight, or starves from want of food, you should be away.
Stopping a swarm is a different trick and again there are a number of ways to do it. But some years they're just going to go no matter what you do.
So last year I created 6 splits from my two hives, tore down the remaining queen cells and neither colony swarmed. No doubt if I followed the same procedure this year they'd both swarm
On the subject of foundation - you want to transfer a couple of frames from your main hive to the NUC when you do the split. Replace the frames you've taken with two new ones and the bees will soon draw it out.