I run a TS-2000 in my coach,, (Kenwood, 100 watt 160 meter through 70cm multi-mode)
I choose to hook it to the house battery.. Here is why.
The House converter is a Progressive Dynamics 9180 with wizard, it's output voltage range is the same as a car's alternator and the 80 amps is several times what the TS-2000 can draw peak. The output is clean and it works well.. Should the park loose power in the middle of a QSO the station on the other end will not notice it less I tell them,, In fact I might well not notice it either.
PLUS that big heavy power supply 1: Takes up a lot of space (As much as the radio itself) and 2: COSTS A BUNCH OF MONEY, which I did not feel the need to spend.
I would recommend connecting to house batteries.
In my case. due t placement of the radio (Less than six feet from the main house 12 volt panel) I hooked in there.