Yes DSM injectors will fit the LS motor. As stated above you need a resistor box and the correct injector clips. The resistor box you need can be found in any fuel-injected '88-'91 Honda.
As for fuel management you can either have a low-level Hondata installed by a shop and then have them dyno tune it, or you can run a V- or S-AFC set to -40% across the rev range as a base setting with further dyno tuning to get it dialed in more precisely.