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So your CRX is a stock DX automatic? If so, you have a lot of crap to do (and LOTS of stuff to read up on) if you want to swap it. There are tutorials all over the internet for this stuff.
First is the auto to manual swap. You'll probably want to use stock 4th gen civic parts since that would be a bolt-in affair. However, that leaves you needing a old skool clutch-cable tranny which can be hard to find sometimes. Second is dpfi to mpfi conversion. Depending on the motor you decide on, you might also have to do extra wiring for vtec and/or OBDI. FYI: going with a B-series motor means you have to buy more crap like motor mounts and shift linkage, plus they're just more expensive to begin with.
Probably the easiest bang for your buck would be to do a mpfi conversion, then turbo the motor you have.