you are looking at one of the best engines but with an immensly different price tag.
the b16a generating 160hp roughly will cost you around 80 to 100K for a nice motor and then you have a lot of money to have a turbo and build up the motor and run the car at about 300hp the least (on a built up motor). seriously speaking if you have about 400hp in a civic thats all you need because anything above that will give you an immense amount of wheel spin and no traction at all. Very good slicks would be your tyre choice then.
the second choice is the B18C. one of the best engines ive driven. But you wont be able to find a decent b18c swap for less than 275K considering the market prices right now. The engine is remarkable ive seen NA k20s having a hard time with NA b18C (the b18 did have better suspension and few other upgrades in that case which gives better traction) but still very good. On stock internals you can go upto 300 or 350hp as far as know.
the first two engines would a bolt on for a 95-2000 civic and i would recommend if you want to keep the 95 civic use these
the third choice which is a k20a would i think be out of your range. Market value is about 400K for the whole swap. The k20 can be almost a bolt on swap (ask N20 for more details he has more hands on experience about the k ) for a 2002+ civic but would require extensive modifications to the engine bay of a 95-2000 civic. i wouldnt recommend that.
the last was a k24a3 which ahad just mentioned. Its an excellent engine if you want to add a turbo with it. The higher displacement and a non lsd gives you longer ratios which is good for turbo application. You would have to get a kpro with that but the money is worth the stuff (about 60K). If you are as crazy as me i would recommend the k series and a 2002 civic and a turbo that you can afford.
If you plan to stick to the 95+ civic then the b18 def anyday. even if you dont have the money right now you can always save up later and get the rest of the stuff.
I hope this makes some sense to you and helps you make a decision