Other good news is that Kissena is a terrific race scene - well, it was when I raced there (07 through '10 more or less). Friendly and welcoming; people offer advice and pointers easily and happily. I always found it to be a great scene for beginners.
Clinchers are no problem there. If you use tubulars, road tubulars rather than track tubulars are preferred - it's an imperfect surface and sometimes has some debris on it.
Don't look for a track bike that's a size or two smaller than your road bike. That's heavily flawed advice. Maybe 1cm shorter in the top tube. I see a lot of people riding track bikes that are too small for them. It complicates their fit and form. Their arms go straight down into the drops, their elbows are practically locked, and it makes their weight distribution and bike handling all crappy.