I have both and have carried both. The makarov is easier to carry, but the cz-82 has a greater mag capacity and a better trigger (the makarov trigger isn't bad, mind you).
Decide which you care more about. Flatness and compactness for carry, or an extra 4 rounds in your mag. That will give you your answer.
As far as shootability, both are very nice and comfortable to shoot, but the cz-82 has better sights and one of the best DA/SA triggers ever put in a gun, so I'd say the cz-82 wins in shootability.
Reliability? Both are reliable, proven military designs. Heck, apparently the czech military still uses the cz-82. The Makarov has fewer parts, however, and some think that makes it more reliable. Personally, I don't think you need to worry about reliability with any of the 9x18 guns. They're all good.
Can I toss another design into the hat for you, though? The PA-63. They're currently only $150 from southern ohio gun. Yeah, they need a spring swap before they're shootable, but the springs are very cheap and the swap is very easy. They're much, much lighter than the cz-82 or Makarov, and are also reliable. Not as shootable to me though -- but far nicer to carry.
Right now, Makarovs are $230 from a variety of sources, and cz-82's are from $150-$200 or so, depending on the source and the condition. If you're going to get a Mak, get one from southern ohio gun. The batch they have are in like new, unissued condition.
Personally, if I had to choose between the cz-82 and makarov for my only carry gun, I'd get the makarov. It's easier to conceal, easier to carry, and is still very shootable. If I could have two 9x18 guns for carry and nothing else, I'd get a pa-63 for summer carry and a cz-82 for winter carry, though.