Modolo Venus or 3 T Eva handlebars will solve your problem. They are short reach and designed to bring the brake levers closer to the bar.

The Eva 3 T come 38-42, I think, the Modolo Venus go as small as 34cm. I use the Molodo Venus because I need the 34 cm. I love them. I have a thread that shows pictures of them on my old bike.

If your handlebars are too wide for you the correct size will help because your hands will line more directly with the brakes. Hope that makes sense.

My hands are tiny too, my 2nd graders used to laugh because their hands were bigger!