You're highly unlikely to achieve satisfactory results yourself. To do 4k HD you'll need to find a TV/film post house that could do it for you. Dependant on the length of the footage, for uncompressed 4k HD you're going to end up with file sizes that range from plain huge to absolutely insane.

Bear in mind the quality of the original film, is it actually going to look any good at 4K res? I got Ghostbusters on Bluray recently and couldn't believe how bad the original film quality was. Otherwise you're going to have to pay someone to restore the footage for you.