A 14" bandsaw will do the vast majority of what you want to do unless you wish to turn larger bowls in which case a 16" machine would be more suitable as it will allow a foot under the guides. However, I think that unnecessary in your case right now, you could upgrade later if the passion takes you.
I totally +1 the combo of chainsaw and bandsaw and as far as chainsaw is concerned I would not get anything with less than a 16" bar, preferably 18" or you'll struggle to rip sliced boards off a half decent sized log. The smaller ones in the sheds are toys for making firewood out of saplings basically.
But don't underestimate how staggeringly useful a chainsaw is when used carefully at creating blanks that can be mounted directly ie with no further machining. The surfaces will be rough but truing them on the lathe is fast and easy. Where a bandsaw comes into its own is to create circular blanks for platters/bowls and of course it can also overlap with the chainsaw by creating boards direct off a log with a flat surface. Personally, I now tend to do most of the board creation on the chainsaw and then use the bandsaw to create uniform spindle blanks. The fact is that handling logs at near chest height on a bandsaw is unwieldy and cumbersome as they're heavy. I now process most of the boards outside with the chainsaw then machine the boards on the bandsaw into either spindle or bowl blanks.
I think what I'm trying to say, rather badly, is that most folk view a chainsaw as a very rough tool for converting a tree into smaller chunks. With care and only a small amount of practice (and a sharp blade) you can rip a stump into uniform boards ready for other uses. To increase that accuracy, you can invest in a modest manual chainsaw mill and cut dead flat boards. It's for this reason I advocate a long bar, because of the need to rip decent sized logs. In logging circles, 18" is a short bar, but for turners I've found it about right though on occasion I wouldn't mind 24 inches (phnaar oo er Missus)
Chainsaws do of course waste more wood than a bandsaw but hey...this stuff grows on trees y'know!
