Projecting sp objects in R

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I have a number of shapefiles in different CRSs (mostly WGS84 lat/lon) that I'd like to transform into a common projectly (likely Albers Equal Area Conic, but I may ask for help on choosing in another question once my problem gets better-defined).

I spent a few months doing spatial stats stuff in R, but it was 5 years ago. For the life of me, I cannot remember how to transform an sp object (e.g. SpatialPolygonsDataFrame) from one projection to another.

Example code:

P4S.latlon
 
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