I will reinforce what Rudaidri has said,
30-35 pound draw is all you need but should be worked up to from a lower poundage.
I love the Samick SLB 50 horsebow, with a 30lb draw weight. A shooter in my barony has this and it's my favorite bow to shoot. It just works well. It will be the first brand new bow I will ever buy. It is ambidextrous so your left-handedness will not matter.
I bought the first LH bow I found on Craigs list and lucked on to a good shooting and collectable bow for $55.
Haunt CL and you can find LH bows there.
In service to the dream
Baron Jon Thomme
Gold is for the mistress
Silver for the maid
Copper for the craftsman cunning in his trade.
"Good" said the Baron sitting in his hall,
But iron, cold iron is master of them all.