I have some images (words on jigsaw pieces) that I need converting to vector files

Industry: Education
Design details: I have some designs which were done for my car that I need as vector files and in other formats so that I can use them on lamp-post banners and other printed materials.
Ideas for the visual style: As per the attachments
Extra notes: I'd like a few different files with the different options. It would also be good to have some files with transparent backgrounds so they can be used with other images (not sure but I don't think these will be vector files).