Honestly, if it were me, I would have everything be Deans Ultra plugs. So you would put the male plug onto the ESC black and red wires that go to the battery, like the way you have it. Then cut off the connector that is on your battery now, and put a female on that. BE CAREFUL WHEN CUTTING THE BATTERY WIRES, cut one at a time and solder it to the new connector, then shrink wrap it up, then do the other wire, also always do the positive wire first. You DO NOT want to cut both wires at the same time, or have them both exposed at the same time, that could lead to a battery short and the pack may ignite. Also, be 100% sure that you are matching positive wires to positive posts on the connector, and same with negative otherwise the pack will short.

After that, all you need is that little charge adapter I linked before and you should be good.