Hilda McIntyre Ray Park is tucked away on the westside of Santa Barbara (seriously, I grew up less than half a mile from here and did not know it existed until recently!). It has a small 2-5 year old play structure over rubber mat. It is located off Carrillo St near the top of the hill at Kenwood Rd.
This is a truly toddler friendly play structure.
There are simple bathrooms (with no doors however).
It is small with nothing for older kids.
There are no swings.
It is easy to get lost finding it. Don't trust Google maps--it will steer you wrong. Use these: http://www.lotsafunmaps.com/Santa_Barbara/Hilda_Ray_Park.html#gallery