We used the bouncy and swing a TON. When baby was really small I sat him in the bouncy so I could do things. Even as he got bigger, I would bring it into the bathroom while i was getting ready in the morning or in the kitchen while i was making dinner. The swing helped to put him to sleep for naps.
The walker was great, when he was ready for it and past the bouncy chair stage and he loved the independece.
The bouncer is good, too, but our son goes to daycare. If you are staying at home or having childcare in the home, I think it's a good one to have too, but if your childcare is out of your home, I don't think its necessary.
In terms of space, you will probably be done w/the bouncy chair by teh time you need the walker /jumper. there are some swings that are more the size of bouncy chairs or are combo's - maybe get one of those models?