So now that your plans are all laid out, lets cut ourselves a length of wire. Make it long enough that you're comfortable wrapping it and not poking yourself in the eye. You also don't want it really short or you'll have to keep replenishing your wire, which I will go over later. It's just a bit of a pain to do and has the potential of looking glaringly bad.
To start your wrapping, take an end of your length of wire and then pinch it parallel to frame wire. Hold it steady there, and make sure you have a good chunk of the end, but not too much as to be wasteful. For my design I have the longer portion of the wire going away from the end of the frame as that is the direction of the wrap that I am doing. After I do the first wrap, I will switch the direction to go the way the wire feeds towards the middle of the necklace. I did this because otherwise I'd be starting too far away from the end of the frame, so it wouldn't look as good.
Now that you've done the starting portion of your wrap, you'll want to slide your wire wrap into place. Go to your original wonky first loop. Take your flat nosed pliers and shape that first loop to match your other loops. Pinching the wire as pictured above will align it to the other loops. Pulling the end will tighten the loop to further put it into place. You may need to do this several times until it's just right. Once you have that first loop in place, you'll want to cut off the excess wire. Leave enough to curl the end to a place which wont be on the outside of the frame- where it can snag onto clothing. Once you've done this you'll want to take your pliers and clamp it down, curling it around the frame wire. While clamping you'll also be clamping the other wire loops. This does a sort of crimping action to your loops and will make their placement permanent on the frame's wire. It's important to note that if you have some wire wrapping that slides a bit, use a pair of pliers to sort of 'crimp' the loops into place. Be careful when doing this as too much will strip your wires, way way too much will destroy your loops, and not enough will wind up with a wrap that still slides.
Once you've curled that edge around, you're done with that wrap. Now you continue to the next place to wrap your wire. The next wrap you do shouldn't require you to hold anything other than the frame because your first wrap is doing all that work for you. So now you can just merrily wrap away!