Diana, a universal convertor of many types of Census and other semi-official geographies is provided by Missouri Census Data Center,
mcdc.missouri.edu/.../geocorr12.html.As far as correlations due to overlapping years go, if I were desperate, I would use a correlation of 0.8 if 4/5 of the years overlap. But generally I would expect the estimates at the low levels like block groups to be extremely sensitive to variance estimation methods, and obviously bluntly adding up the squared margins of error, or even accounting for 0.8 correlation, isn't going to be quite right. Unfortunately, you won't even be able to get consistent PUMAs for the 2009-2013 ACS, as they switched to the new ones right in the middle.