HS BS 3 - Handle Pass

I know.. another question about the handle pass. So here's my story.

I'm going wake to wake with a clean hs bs 3. The only issue is I'm not passing the handle. I've tried a hs fs 3 but decided to focus on the bs 3 since it's more comfortable for me.

First question is if the fs 3 is a better first 3 to learn or should I stick with the bs 3?

Second, how can I get the handle pass over. I'm not sure that i'm pulling hard enough or if I'm just not edging right. Either way, I need some help to get this trick.
Thanks for the help!