Just to clear up a few things for you all.
1st. You cannot transplant the automatic into a Civic. If you want an H22 it is going to be a 5 speed. The auto will not fit.
2nd. The H22 axels will not fit in a Civic. What you have to do is use the intermediate shaft from a '91 Accord and the half shaft from an Integra on the drivers side, and the stock Integra axel on the passenger side. And yes, you are going to rip them a new asshole.
3rd. Yes, you are going to have understeer. It is just physics. You are adding about 100lbs to the front of your Civic. Most of that can be controlled with the right suspension set-up. You can get better shocks like Koni adjustables. You can use bigger sway bars. Stiffer springs help a bit. But it is not that bad, most people don't mind. A good idea is to reposition the battery in the trunk. that way you can get some of th weight in the back on the car. It is not much, but every little bit helps.
You are going to have ground clearence problems from the header underneath the car. It hangs down a bit and it is prone to scraping. You are just going to have to be careful in that case.
I have the Type-S engine in my '97 EX. It is probably not worth the extra money, but it revs higher and it does make 25 more horsepower out of the box, so I opted for that.
This is not an easy swap. It cost me $7000 to get the whole thing done. So make sure that it is something that you really want to do. For $7K you could have a b18c with a turbo that will make the same or better power and it is going to cost less and be less of a hassle. Since I have one, believe me, it is a monster of a car. Fun, but it can be brutal at times.