Cool. I'll reply by the numbers -
1 - No problem. I find this easier than the "forwrad" style.
2 - See number 1. However, I wouldn't leave anything for the mastering phase. Strive to get it right during the recording - tone, EQ, etc.
3 - Firepod is a good choice. IMO, there's very few in this price range that can compete for sound, quality and features.
4 - It's impossible to record the piano without taking the room into consideration. The piano and the room couple to make the instrument. Take a $200,000 Bosendorfer and put it in my bedroom and a $400 Baldwin console and put it in a concert hall - the Baldwin will likely sound better.
I would also suggest you consider micing with the lid on full stick (or even off). When we record the piano, we record for the purpose of picking up vibrations from the sound board, the strings, the room and the body. We do not aim for picking up vibrations from the lid which serves only two acoustical purposes - deflect some of the sound forward (not needed in a recording session) and to alter the timbre of the instrument by deadening its higher overtones (also not needed nor desired in a recording session).
These are just my personal feelings on the situation. You may ultimately decide that I'm nuts and that's your right. However, I've never gotten positive results (or at least results that I could be pleased with) with the lid at short stick.
As for microphones, I would urge you to look at the following: (most are under the $1000 point for a pair)
1 -Shure KSM series (141s, 137s, 27, 32). These are excellent mics regardless of their price and almost all work quite well on piano. My preference would be foor the 141s as they are perhaps the most versatile of those listed and they sound darned nice!
2 - AT 4041, 4051, 4050. Again, great mics regardless of price.
3 - Neumann KM 184 (on Ebay for about $1k per pair) - not my first choice, but many use them and like them.
I would personally lean towards a matched pair of mics instead of one for high strings and a different kind for low. This (to me) is a far more cohesive piano sound and works for other things as well.
Also, you'll see most of the ones I recommend are small diaphragm condensers. This again would be my preference, however, a pair of AT 4050s would do quite well on piano and would give you one heck of a versatile pair of microphones. In addition, their higher sensitivity means you're less likely to have to deal with preamp noise if this becomes an issue.
Cheers -
j.