The easy but hard way is to learn full EG, and nice one-look, and then one-look the whole solve, as Rami says. I would recommend it if you are planning to get fast at 2x2 speedsolving (not BLD)
But an easy and also easy way, is to learn some type of BLD method for corners, such as the one which uses a modified Y perm (R U' R' U' R U R' F' R U R' U' R' F R), or to use OP (orient-permute), using variations of sunes and antisunes (sune + L' U' L U' L' U2 L, variated), to flip corners, and J perms (or Y perms, or T perms, or A perms, whatever you like) to switch 2 corners at a time.
But I'd suggest you to learn 3BLD first (although I learnt 2BLD before than 3BLD, as you did, but I don't recommend it). Find a great tutorial (I don't know which one to recommend you because I learnt from many tutorials, sorry again :/), and then try to understand my explanation again. You should find 2BLD very easy after having learnt 3BLD
So, in brief: learn 3BLD before 2BLD and 2BLD will come alone
