First off, you don't really need a premium bullet for deer. Most premium bullets are what is called "bonded" and that type generally don't expand quickly enough to do a lot of damage to the vitals on a deer because they are designed to go deeper on elk or moose. Anyway, go up about 1/3 to 1/2 way on the body just behind the front leg and that will take out the lungs and result in a quick, humane kill. A more forward shoulder shot will also do the same thing and generally knock a deer right off it's feet, but the result can be a mess when you hit that shoulder bone. A shot through the lungs doesn't ruin more than a couple pounds of meat and you don't have bone fragments to deal with when the animal is processed for consumption.
This is a link to an article on the DOW website under Elk Hunting University addressing shot placement for elk with a rifle. I know you were asking about deer, but I feel this article addresses it fairly well.
A 150 gr. bullet will do the trick. The first deer I got was with a 115 gr. bullet out of the .257 Roberts.
What do you do with those empty nylon feed bags or dog & cat food bags? Can you say recycle? I use them for target practice for the youngsters. Take your empty shopping bags, stuff them into an empty nylon feed bag. You can also use old clothing or rags, (but put them in the bottom so it doesnt get top heavy). When your bag is full, fold the top over, punch some holes into the top and zip tie the top shut. Paint, draw, paste, or have the kids decorate their new target. Set it out 10 or 20...