14" bandsaws are pretty good all purpose machines. I also see a lot of 14" Jets, Deltas, etc in the classifieds. These usually have enought power, table size and cutting capacity to do the kind of work you describe. I would add that if you expect to handle large pieces of wood, you might want to go a little larger. The increased table size of an 18" machine, for example, can make handling heavier pieces easier. These bigger saws also come with a little larger motor.
Don't break the bank on a drill press. Just look for a good solid machine. I would recommend a floor model (or similarly constructed benchtop model),
1HP, tilt table, mechanical table lift. Again you will find a lot of these machines made by Delta, Jet, Craftsman or Grizzly for less than $400. If you are willing to go with a used machine they show up in the classifieds for $150 to 200. Short of dropping them on the floor, burning up the motor or continually drum sanding (quill wear) there isn't much you can do to damage them beyond economical repair. When you move up to 2HP, radial heads, etc you can spend a lot of money.