Depends on the type of bird LEM, but on the 737 we used to call "2000 to go"(in the old days that is !) and "1000 to go". At the "1000" call we'd reduce the climb rate gradually to 500 FPM by either CWS on the old 73's or VS on the newer ones.
But, having said that, on all the Efis 73's(Classics) and NG's the autopilot is well capable of sorting out a smooth transition even with high rates. The capture mode works out the rate and adjusts accordingly.
So, to answer the question, on the -200 we'd reduce the rate in the last 1000' to 500FPM till ALT CAP but on the later 73 models the autopilot can do the job well with no danger of a major bust. Unless of course a sudden request to level off has been made and you have to select ALT HLD, different matter.
If the autopilot is not engaged, no matter what the type, I suggest 500FPM within 500 to go is the target.
