The first thing you can do is to set good looking profile picture. It should not be a picture which you have taken at sea, river, mountain or in your friends birthday party. But picture must me a passport size photo with you attach with your resume.
Second thing you can do on your social media profile is to write good short but descriptive summary about yourself. You can mention your skills, education, working back ground in short and best manner.
Third thing you can on your social media profile add video about yourself. You can make make a video which shows your skills. You can also make Power Point presentation and upload it.
Fourth thing you can do on your social media profile is to update it with your present address, your email, mobile number, whatsapp number, your twitter account, Facebook profile page and Google Plus address.
Never write abusive or bad comments. Never upload pictures which are not good and which are only for fun. Never show you are in problem, you have breakup with your partner, etc.
This are some of the best things you can do with your social media profile to attract your employers. All the above mention points will leave best impression on your employers.