i guess i would like to be able to mill logs down to boards so i could plane them down and make them into cabinets (1/2 -1") The thickest would be something along the lines of a mantel, i always wanted to make a birch mantel with the bark on it and a heavy coat of laquer. i'm sure i wouldn't be milling bigger than 30" oak logs
Ok, that's a start. There are two basic types CSM and BSM. Bandsaw Mills (BSM) are much better at thin lumber, less kerf waist. CSM is lighter on the wallet and the back.
My initial big setup, including an ebay 660 an Alaskan MK-III, chains, file, oil, gas cost under $800. An entry level BSM is about $2500. A BSM to handle 30" wood is much more.
As BobL wrote - you'll need a bigger saw soon. Regardless, if you want to get started (it's the time of year to cut wood), and you want to buy rather than DIY, I'd suggest a 36" Alaskan about $200.
Since you mentioned planing, cabinets, and birch you could start with smaller trees and end up with narrower lumber, but suitable for your purposes. Birch is not an extremely hard wood, often in cabinetry you don't need much over 12" and pieces can built of edged and jointed wood, rather than needing 1 big slab.
I suggest a 36" Alaskan simply because it should handle your wood if you do move up to a 90cc class saw. If you want used, a couple have popped on ebay recently.
And Bailey's has free shipping until Nov 31st on orders over $200.
good luck