Avoid slippery floors if possible. Check if the shoes you are using are suitable for Badminton or not.If your badminton shoes are not giving the grip as it supposed to give, consider getting a new one. The soles of your shoes have probably worn off.
In strenuous play, you may get blisters on your feet or hands, so it is worth carrying some plasters in your sports bag.
Intense physical exercise of any type, particularly in hot conditions, can lead to dehydration. Badminton is no exception. To prevent this, take small quantities of water or isotonic sports drinks both before play and at intervals during play.
Eye injuries do not happen often, but you must be prepared for the possibility. If it happens, it happens in doubles play most of the time. Keep your racket head up so that you can intercept any shuttle which is coming towards your face.
If you are taking the front position, do not turn around to see what shot your partner is going to hit. It is better to get a shuttle in the neck than in the eye!
I have a friend who once played doubles in which he smashed his racket on to his partner's head. Tough luck and a lack of badminton safety awareness i guess. These accidents can happen if you both go for the shuttle together. Communicating to your partner is important.
Avoid running into anyone when you are practicing. If the shuttle is hit on to another court where play is in progress, wait for the play to stop before retrieving it.
When leaving your court, remember not to cross too close behind any other court where play is in progress. You wouldn't want to injure yourself in this fashion. Badminton Safety will not be much of an issue if you take reasonable care towards yourself and other players around you.