In order to answer your question, you should really consider your motivation for wanting to hunt.
If you feel like you NEED to kill a deer your first season to enjoy hunting, start with a gun. The simple fact that you have more range than a bow is going to make killing a deer easier.
If you want to hunt for any of the myriad other reasons that people take to the timber, a bow may be a better option.
Killing a deer with a bow most definitely requires a lot more work as far as practice and woodsmanship to be successful. I started hunting bow only at 14 years old. I didn't kill my first deer until I was 25. However, that 11 year gap was filled with GREAT experiences afield and a crapload of knowledge gained.
In Illinois, our bow season runs from Oct1 until Jan 15 or so... but we only get like 10 days total to hunt with guns. That's the biggest reason I enjoy bowhunting so much. However, I started hunting with a gun about 6 years ago, and I really enjoy the different approach and comraderie that comes with gun season.
If you have the means, I'd suggest trying both of them. Get a bow that you like and can shoot well, AND get some rifle tags. Try both methods and figure out what is best for you. Chances are you'll grow to like them both for different reasons. I know I'm pretty much guaranteed to kill a deer during gun season. However, I love bowhunting even though I know I'm probably NOT going to kill a deer each time I go out. That makes bow kills a lot more special for me.
As far as brands go, that is the equivalent of asking people what brand of truck is the best. Each company has their own signature style and options. Find a good bow shop and shoot some bows. I just bought a PSE that I really like, but I've shot Hoyt, Ben Pearson, Bear, and other brands that I liked as well. Price has a lot to do with my hunting gear choices.
What about a crossbow? If you are comfortable with a gun, and would like a bit of an added challenge, a crossbow may make a good choice for you. Plus, they're super fun to shoot.
Whatever you decide, remember that this thing we do is called HUNTING, not killing. Be prepared to have a lot of unsuccessful days. There will be days when you don't even see a deer. Then there will be days when the action is hot and heavy and your heart is pounding out of your ears...
"When a hunter is in a tree stand with high moral values and with the proper hunting ethics and richer for the experience, that hunter is 20 feet closer to God." ~Fred Bear