I can tell from professional point of view that supports are not what you should be looking for! I can't think of a reason to use a support unless you have a physical reason for it (hyper extension ect.) The best way to "sort out" your ankles is to get the muscles around it strong enough to support the strain. When you are using supports it suddenly means that your ankles are getting weaker due that and you problem gets even worse.
You might want to consider using "vulkan" style support which basically is only a neoprene half-sock. It will make sure that your muscles are getting warm enough without giving too much support so that you can still strengthen them. Just stay away from metal brace supports unless you REALLY have to use those. (and with "really" I mean that you have snapped a cross supporting ligaments in the past)
So finally, my final advice is to get some light weights and a balance board and do some daily exercise. (Just stand on it with one foot and try to balance as long as possible, good for strength and coordination)
Muscle strength > weak joints