General :: Bash Script To Find Lines Containing Two Different Strings

I'm trying to write a bash script to find all lines containing two different strings in many files. I don't have access to egrep so I want to use sed for this purpose.

The files will look like this:
FileX
------
Info:18
Data:76
Contact:me@home.com
Start:1500

I want to generate a new file from these files with only the rows containing Data and Start. Something like this:
for y in `ls /file*.db`;
do sed '/Data|Start/p' $y > newfile
done