Looking for a good quality infant swing for baby #2 that has a smallish footprint. We have a small house!

We had the SUPER basic model Graco swing (used) for #1, but it was such a piece of junk we ended up throwing it away.

I don't want to spend a ton of money. I think I want it to be able to fold up, but doesn't necessarily need to be one of the tiny portable ones.

Also, question. Do you think it is necessary to get a swing that also sways from side to side?