John,
Alkyd paints are solvent based which means thinning and clean up require solvents such as mineral spirits. Acrylic paints are water based and require no solvents for cleaning or thinning, only water.
Alkyd paints do offer a smooth hard finish for doors, windows, etc. but white colors will yellow over time.
Acrylics will not yellow and are much easier to apply, I would use a latex or acrylic/latex for the walls and a acrylic enamel (semigloss) for the doors, windows, and woodwork trim.
hope this helps,
rmichael