For green wood, what others have said - 3 or 4 TPI around 3/8.I do like Highland's "woodturners blade" but I've got some Lenox bimetal blades for fine work (14/18 TPI) that I really like, so I might try one of theirs for the next green blade.
I'd suggest getting 2 blades. Green wood can be tough on blades (dirt in the bark etc) and I don't want to have to wait for the UPS guy in the middle of something if I break or dull a blade.
Also having a "clean" blade on hand for special circumstances is handy.
Make yourself some circle disk templates - can be thin plywood, paneling, or even cardboard - whatever you got. With a log on the saw, you want the flat side down which means bark side up. Sorta hard to draw your circle on that. So use a nail/screw/awl to stick the disk to the log as a template.
And remember that unsupported cuts are bad - and this applies to bandsaws just like table saws and skews and gouges etc. The wood needs to sit flat on the table or else the blade will slam it down on the table violently. That usually requires a new blade and clean pants (and hopefully you don't get a lot of blood on your new saw or worse - on the wood). A bandsaw is the tool your butcher uses to cut up a cow - your fingers are no challenge.