Welcome to OSM.

I use Java OpenStreetMap for my edits, but the iD in-browser editor is probably the lowest barrier to entry for OSM and will let you trace content on top of aerial imagery.

https://wiki.openstreetmap.org/wiki/ID

Addresses can be mapped to a node (single point) or a way (area representing the building).  The tags you want look like this:

addr:housenumber=2937
addr:street=Fairfield Avenue
addr:city=Bridgeport
addr:state=CT
addr:postcode=06605
addr:country=US

Use of these tags is documented here.  
https://wiki.openstreetmap.org/wiki/Key:addr:*

An important rule of OSM is "Don't copy other maps". I often check what Google to get a sense of an address location, but look for other primary sources of information such as business websites and local tax maps to have multiple sources before mapping addresses in areas I don't know personally.  If you have local knowledge of the area, that's ideal.