Well for starters, what kinds of meats do you most enjoy cooking and eating? Beef? Poultry? Fish? Others?
When starting out on a new way of eating I think it's helpful to utilize the things you know you like and will want to eat, and there are many good sources of healthy fats from which to choose. My personal favorite is fish, especially salmon, and I don't like red meat which most of the PB community seems to adore.
So, I say start with the meats you're automatically drawn to and start expanding from there.
We must learn to do what the leaf and the whale and the wind do of their own nature. We must learn to keep the balance. Having intelligence, we must not act in ignorance. Having choice, we must not act without responsibility
-Sparrowhawk, The Farthest Shore by Ursula K. LeGuin