Raising the bars can help, but that then is at the expense of efficiency (pedalling power, and wind resistance). So, you might want to look first at saddle position. Roughly, like this to start.

1. Saddle should be dead level, and centred on its rails (i.e. the seatpost clamp should be in the middle of the rails).
2. On the bike, your saddle should be high enough so that when you put your heel on the 'down' pedal, it should touch just firmly enough to allow you to spin the pedals backwards (with heels on pedals) without coming off. Then, when you put your feet in normal position you'll have about the right bend in the knee.
3. Try riding. Reach to the grips should be comfortable, allowing you to ride naturally with a slight bend at the elbow, and you shouldn't feel like you are falling forward.
4. If your arms are 'locked out', you need a slightly shorter stem. Don't adjust reach by moving the saddle forward/backward. If your arms are fine, but you still feel like you are falling forward, move the saddle back just a little -- about 5 mm -- and/or tilt the nose of the saddle up very slightly, and try again.
5. Play around with it -- see what happens.