The main differences to consider IMHO:
DT2843R has True-RMS with DC, UT139C appears to be True-RMS AC only
DT2843R has a slow continuity test, UT139C is fast
DT2843R has limited input protection, UT139C has much better input protection
DT2843R does not have a non-contact voltage detector, UT139C has NCV
DT2843R has a better made temperature probe, UT139C is a simple welded bead end.
DT2843R 4000 count, UT139C 6000 count
DT4000ZC is close to the same as the DT2843R, but has PC connection and software.
Conclusion:
Need a safer meter, UT139C. Need fast continuity, UT139C or DT-4000ZC. Need NCV, UT139C.
Need True-RMS +DC, DT2843R.
Need PC logging, DT-4000ZC.
I would recommend the UT139C to most people from what I have seen. I have a DT2843R and it is a very good meter for the money too, but I think the UT139C edges it out for most uses.