Wow, I (largely) agree with nameloc01 for once!
If you want to run a MixPre, by all means get the AT853s re-terminated to miniXLRs, and then get phantom adapters. If you are handy with a soldering iron, you should be able to do this yourself, a quick search here will turn up the appropriate wiring diagrams. But the wires inside an AT853 mic cable are tiny, and there's not a lot of room to work inside a mini-XLR connector, so it might be better to leave that to someone experienced if you are not.
I would not recommend PS-2>iRiver unless you exclusively record really loud material. It will work, but you will have to add a lot of gain with the iRiver's built-in preamp if recording quieter material. That will be noisy, a lot more so than if you use a mixpre or even a much cheaper Church Audio preamp.
Also a PS-2 has XLR inputs, not mini-XLR. You'd still need to get phantom adapters to use it.
Alternately, get a 3 wire battery box or preamp with mini-XLR inputs. A lot less bulk than the phantom solutions, but you still get locking inputs and 3 wire power, which is all the phantom adapters ultimately provide to the mics.
Or (cue angry response from nameloc01) you can get a 4.7k mod done and get a CA-9100 preamp with a miniplug input. It will sound better than phantom adapters>PS-2 using the internal preamp of the iRiver, but probably not as good as a MixPre. PS-2>AD-20>iRiver would sound better than PS-2>iRiver because you get to use the better preamp and A/D in the AD20, AD20 vs CA9100 is probably just a matter of taste.