I would suggest skipping the changing table and mounting the changing pad to the dresser top. Also, invest in a good closet organizer for the baby's room, and think about doing that for every closet in the apartment. You'll really maximize your storage space that way. Baby gear can take up a lot of space, I'd say skip the walker and stationary exersaucer in favor of a jumper that you can move from doorway to doorway. My daughter loved that more than anything, and you can easily take it from room to room, plus when not in use, they don't take up a lot of space. I'd skip the highchair altogether and go with the kind that straps onto your existing dining chairs. I'd say skip the tummy time gym (just put a blanket on the floor), and the baby bathtub (designate a towel to lay down in your own tub to soften up the surface, and fill with a few inches of water). What I wouldn't skip is the swing, my baby loved it for naps, and we had the spacesaver kind from FP that also vibrated and could be used as a stationary seat. Go with a convertible car seat and separate stroller instead of a travel system--that one car seat will go from infancy until 5 years or more! In the kitchen, I designated one small cabinet for baby feeding supplies, and I didn't buy multiple sizes. My daughter always drank out of 8 oz bottles, even if it was only a 3 ounce feeding. Sounds crazy, but I've been using the same 8 bottles since she was born, just swapping out the nipples for the correct ages. When you're on to plates and bowls, buy multiples of the same kind so they'll stack up nicely, and use plastic organizer tubs for storing jars of baby food (if they're contained, you won't have to worry about knocking over a stack). I made most of my own babyfood, froze it in ice cube trays and transferred to freezer bags--just take out a days' worth of food in the morning to thaw.
Most of all, resist the urge to believe that you need everything the registry lists tell you! If you're happy, your baby will be too! Hope this helps!