I owned a pair of the B-2031A and I must strongly recommend them for what you wish to do
These speakers are not perfect for studio simply because they are closer to a home speaker sound but on the other hand, they are not perfect for home either, they really are in between, probably just what you're looking for
Generous bass and VERY powerful, and yes, you can sing live but I would recommend a compressor/gate.
I've replaced them with these:
http://www.zzounds.com/item--WHADP82A
About the same price but a BEST BUY for real studio monitors
PS- Just keep in mind that all the great comments about the B-2031A were from the first generation, Behringer lowered their quality lately and it is possible that they are not manufacture by the same company who used to make the one people are referring to
Behringer is NOT a recommended brand, it can work or NOT work the first day you plug it