Hi,
I managed for years with a bandsaw and no table saw. I bought the bandsaw because I thought, and still think, that it is more versatile for general woodwork. I do though have a track saw that excels on sheet goods. I don't do big heavy stuff, a mixture of furniture, boxes and various parts for wooden aircraft build/restoration projects.
Last year I bought a 2nd hand Kity 419 which, with a few shop made sleds and jigs, has made a lot of jobs faster and a bit more accurate/repeatable and I wouldn't be without it now. I don't think it has made anything possible that I couldn't do before by hand though, whereas buying the bandsaw did.
The bandsaw (a modestly sized Elektra Beckum BAS316) is quiet, has a small footprint and is safer in that it pushes the wood down and not back at you. In contrast the table saw is potentially more dangerous if improperly used and guarded and it has a prodigious capacity for making dust that the band saw cannot match. The basic table saw is also quite small, certainly too small for sheet work. I have had to build a cabinet with an extended top which means it takes up quite a lot of space.
No one else has mentioned dust collection and that ought to be a factor in your choice. The table saw needs extraction, ideally the band saw too, but for that you can get by without in the short term.
I am currently implementing a number of modifications to my table saw as posted by others on this forum in the hope that I can get it's dust under control. Of course that involves using the 2hp dust extractor that services my planer/thicknesser. What do you have in the way of dust extraction?
So, my suggestion would be to go with a decent bandsaw and the portable circular saw with track or guide.
My initial choice of bandsaw is a slight regret, I nearly bought a Startrite but the guy in the shop convinced me the EB was big enough. By using decent blades from Tuffsaws it works well enough and I have upgraded the fence to a Kreg one which works well. There is little to criticise about its quality except perhaps the blade guides for which I understand a 3rd party upgrade is available. Do get me wrong, it is a good tool but I just find I need a bit more re-sawing capacity fron time to time and am on the cusp of ordering a Record Sabre 350 which I believe will meet all my needs. I would advise that you get the biggest that you can afford first time, but as long as you buy something decent it will usually resell.
regards
Colin