IF it says h22 it IS VTEC, if it says h23 it isn't.
There's also an F22 which is a single cam that came in those preludes (92-96).
I would go with a b16 or a GSR, those will be easier to put in, and less headaches along the way.
If you plan on finding these locally and not JDM/imported...
B18A1 = 90-93 Acura integra, there is no point in getting this swap unless it's free.
You will need to get a hydrolic transmission, or the conversion kit from hasport for Cable-To-Hydro, and if the engine is from a 90 or 91 you will need to do plenty of accessory swapping and wiring to match the obds.
B18B1 = 94-01 Acura Integra (LS), these are a pretty good alternative if your budget is low, everything will bolt in, you won't need to do much (if any) wiring for this to go into your 92 Dx if you use the B18B1 engine harness and ecu.
B18C1 = 94-01 Acura Integra GSR, Same story here, but you will need to wire in a few things (IABS,VTEC,VTEC Pressure, possibly Knock Sensor and Crank Positioning Sensor depending on which ecu you run.
B18C5 = 97-01 Acura Integra Type R. If this is within your budget, you should already know what is required to put it in.
B16A3 = 93-97 Del Sol DOHC VTEC. This swap is also a bolt in affair assuming you have everything included with the swap. (96-97 May require the use of a 96-98 GSR engine Harness, or cut+pasted wiring harness)
B16A2 = 99-00 Civic Si. This swap is pretty simple also, but you will need some mount brackets from a 94+ GSR and the harness from a 96-98 GSR.
For all of these swaps use the:
B series axles (94-01 Integra axles will work, if not included with the swap)
B series ShiftLinkage (NOT the del sol's)