Thoroughly inspect the trailer for structural damage. Repair or replace rotted wood. Test the plumbing and electrical systems if they're present in the trailer. Have them replaced or repaired by a professional if you lack the skills to do it yourself.
Remove any visible parts that have been added to the trailer that aren't consistent with its vintage. Look for replacements at salvage yards, in vintage trailer magazines and on online marketplaces. Place advertisements for parts you can't find.
Clean wood veneers and replace them if they're damaged. Match the wood grains when replacing them. Polish stainless steel, and repair pits and scratches. Replace carpeting.
Furnish the trailer with the appropriate window and cushion coverings. Vintage Airstream trailers, for instance, usually had wide-slatted wooden venetian blinds. Research colors for your particular trailer's era, and reupholster damaged cushion coverings. Use vintage hardware for replacements.
Refurbish the exterior of the trailer. Repaint in the original colors. Polish and repair stainless steel. Replace missing trim. Patch rusty spots. Fix doors and door locks, window seals and entry steps.
Update the trailer with electricity, propane and a furnace if the trailer didn't originally come with them and if you are not absolutely dedicated to maintaining the original design. Updated systems will improve your camping experience without taking away from the trailer's appearance.