In terms of sizing you're probably best off just contacting the company you want to buy from with your measurements. They'll most likely be able to help you get the right size.
In terms of which one to buy, I would take a read of this article. It even comes with a bonus picture of Kyra Gracie almost wearing a Gi that you boys are bound to like.
A summary of important points:
- BJJ Gi tends to be tight, Judo Gi tends to be loose.
- Judo Gi sleeves are longer and wider to facilitate gripping.
- A Judo Gi will probably be legal in a BJJ competition setting, while a BJJ Gi will almost certainly not be legal in a Judo competition setting.
- A Judo Gi will probably be cheaper, assuming you're comparing similar quality brands
Given those points, you can buy a Judo Gi if you want to, however be aware that you're probably giving away advantages that you haven't considered - the looser fit of the Judo Gi will make it easier for people to get grips on you, and will likely make choking you easier as well. If you're planning on competing this will not be helpful.
The disadvantages might make you a better grappler in the long run, but if you're just starting out then your training partners really aren't going to need the advantages you're giving them.
In terms of fitness I wouldn't expect the extra weight to make a significant difference. If you haven't done any grappling you're going to find BJJ sparring pretty hard work anyway.
On an "I don't have a reference for this bit" note, a BJJ Gi will also most likely be reinforced in areas that get a lot of wear - the knees and the backside of the pants. Judo doesn't feature scooting around on your butt or on your knees like BJJ does, so if you buy a Judo Gi you might find the pants don't survive as long as the top.
Opinion: I would buy a BJJ Gi. The training is hard enough, you don't need to deliberately handicap yourself to make it harder.
Bonus Wikipedia link for BJJ Gi that contains competition rules for fit.