Congrats on the new frame! That Pipedream Sirius looks real sweet and I sure wish someone local to me, and about my size, would build one up so that I could try it out.
Lots of great advice already posted. As far as gearing, ask five different people, even if they are all riding the same trails, and you could get five different answers. So many variables, personal preferences and skills come into play, and none of them are necessarily wrong. The trails I tend to ride most often have short, punchy climbs combined with flat sections and lots of in-betweens. I know riders that regularly swap gears to suit the trail, especially the race crowd, but that is not me. One of the things I like about a rigid SS is the other than normal maintenance items, i.e. chain lubed, tire sealant and brakes, pretty much check the tires and go ride. My do-it-all gear use to be 34/20 and I ran this for years. I can clean 99% of the climbs on the trails I ride most often and still hold my own on the flats when riding with others. That changed about six months ago for a reason that North woods gal mentioned in her post. I used to run a 29 X 2.35 rear tire mainly because that is what fit and it worked fine on frames I owned. My current SS has the room to fit a 29 X 2.5, but I had a couple extra 2.6 tires around since that is what I typically run for a front tire, and decided to see how one would fit. The tire was just a little too close to the chainstay brace, but tons of room everywhere else.
Using this tool, which I highly recommend checking out......
I found that by swapping the 34 for a 32, I moved my rear tire moved back about 5mm in the dropouts, and this still kept my chainstay length relatively short like I like it. I really thought I would be spinning much faster than I am used to, but was curious to see how it felt on the climbs. I was surprised that to find that I could barely notice any difference between 34/20 with a 29x2.35 tire and 32/20 with a 29x2.6 tire. Really digging the 29x2.6 Bontrager XR4s, so think that is my new standard for now.
I think what BansheeRune suggested is an excellent idea. Pick a gear on your current bike and use this to get an idea of what you might like. You can also ask locals, I know I have been asked several times, but keep in mind their experience and priorities could be quite different than yours.
Also highly recommend the Surly cogs. Relatively cheap, good quality, last forever and a big thing now....still readily available.
As far as tire size, I prefer 29", but that issue has been debated and discussed multiple time on MTBR. Do a search and read what different people have to say.
I run an 8-speed KMC X8 silver chain. Easy to find, another big thing right now, and price is not bad. Don't know if it was just a fluke or something, but the all silver version has tended to not stretch as much as the cheaper silver/grey version.
Anyway, welcome to the dark side and enjoy that Pipedream!