Conditions of running trails that are suitable for a Jogging Stroller include:
See StrollerHikes' Interactive Map to find runs by location! For every location you click on to get more information, icons indicate the trail and terrain conditions, as well as amenities in the area.
Look for icons for paved or fine gravel / packed dirt trails, baby joggers, and other features you prefer (flat terrain, rolling hills, etc.). Visit Criteria for a Baby-Friendly Hike to see what features are evaluated.
Alternatively, use the Location Comparison Chart to skim for the criteria you are most interested in. Click on any location in the chart for further information about trail options.
You can also use the search tool on the Strollerhikes Home Page to search for features you have an interest in.
All hikes are well described, so searching for terms like "paved" as well as geographic locations like "Palo Alto" will give you search results.
You've run on your own, but with a baby there's a lot to consider.