This is probably the worst week of the season for getting live tennis scores. Doha, Chennai and Adelaide don't have any live scores on their sites so it makes it hard to follow matches as they take place. Your best bet is the Mens Tennis Forum, as some of these guys will call up the tournament box and ask for current scores. If they get their hands on any scores, they will generally be posted in that forum

http://www.menstennisforums.com/ - In the current tournament section there is normally a thread dedicated to scores

Other than that:

www.hopmancup.com.au - All hopman cup matches have live scores updated point by point

www.tipex.sk/live.php - If there is a Doha match on TV this site will give point by point updates