Get to some shoots, try out some bows, and see what feels comfortable to you. There are so many variations to longbows and recurves these days that there is no one "right" answer. Some longbows feel like recurves, some recurves have a longbow grip, etc. etc. Generally speaking, I'd go with a recurve that is 60" or longer, or a longbow that is 64" or longer--how long depends on the bow design. You want to get a bow you can comfortably control--I rather get 10# less than I can control than 5# more. Your draw length will probably be around 28", depending on the riser style, your form, etc. 40# @ 28" will shoot through any whitetail, as long as your equipment is right and you do your part. Honestly I'd be more comfortable with 45#, just in case, but it's better to get a lung with 40# vs. a gut shot or miss with 50+ #. A 40-45# bow will work great for everything you mentioned.

Chad