I do not agree with strapping your ankles unless you are battling through an injury and the bracing is critical to you being able to perform/play.
I really really oppose any young athlete to wearing hi-tops, braces, or anything else that hinders ankle movement.
First and foremost you are debilitating the strengthening of that region of your body. The sport of soccer is a great example. Compared to football players their ankle injuries are less common and less severe. Big surprise - because they have been wearing low cut shoes their whole lives. Yes they might have gotten quite a few low ankle sprains along the way. But those are the ones that are good in a day or two.
What I am seeing now is a generation of teen girls and boys that have grown up playing in hi-tops. Their ankles never developed. Yes they don't get the nuisance ankle sprains but when they do it is a high ankle sprain and they are out forever. I have seen high ankle sprains compound into a year or two of PT.
Also I am sure that some pro soccer players strap but in no way is that the norm. Straps, braces, and hi-tops all inhibit ankle movement which decreases speed and power. There is movement in football where skill position players are switching back to low cut cleats. In basketball pros are switching to mids and lows (Kobe's shoes are lows with extra ankle support).
If you are injured I would use the brace to help heal the injury. I have worn braces for half of practice if going through an injury. The muscles need to be used to properly heal and most importantly strengthen for future injury. Given that you are injured I would try the Mueller brace. I have personally worn this and recommend it because it allows for different degrees of tightness in multiple regions. Your goal should be this fitting looser and looser until you can lose it.