I'm not in your area so I don't have any suggestions on tutors or childcare, but if part of what you want is more exposure to the language and it's within your budget...how about satellite TV? I know that in my area, many of the satillite networks have options to receive international signals, including several stations from Lebanon and other countries in the Middle East. Obviously, you don't want your child watching excessive amounts of TV, but if you can find some shows that look vaguely interesting to him or have the arabic channels on in the background sometimes...that might help. I know more than one person who learned to speak English partially by watching TV. :-)

how old is your son? If he's still pretty young , young can pick up books & games pretty cheap from the desert boutique online:

www.thedesertboutique.com/

I'd also do a search or keep my eyes open for DVDs, like arabic cartoons or arabic sesame street. Sometimes you can get disney flicks in Arabic from ebay.

Good luck finding a tutor...

Check out www.soundvision.com they have some Arabic things for children.

There are some Arabic computer games for little ones, too.