The differences are not particularly significant. Base property taxes are the same across Alameda and the difference in the tax basis comes from the cities and local ordinances that have been applied. There are ordinances that have been voter approved for libraries, schools, etc. and this can change the tax rate in different areas of a particular city as well.
The county is portion of the property taxes are the same for all cities located in Alameda County. This county portion is 1.0%
The average tax rate in Albany is 1.3814% with the city portion .1620%, the education portion .2032%, miscellaneous 0.162
In Berkeley the average tax rate is 1.2472% with the city portion 0.0470%, the education portion .1840% and miscellaneous .0162%
This is just an average, but it at least gives you an idea of the tax basis overall for each city. When looking a particular property, it is important to review the preliminary report to find out the exact tax basis and to see if there are any special assessments for that particular home.
Pricing in both cities can vary a lot. Berkeley is a larger city, so there does tend to be more variation in pricing. Location within each city plays an important role in price along with size and condition. Albany does tend to have a lower rate of turn over with less inventory than Berkeley. If you are beginning your search, there is currently a dearth of inventory and lots of competition for the few listings that are currently on the market.
Hope this helps! If you have any further questions regarding the market in Albany or Berkeley, do not hesitate to contact me.