use oil bonded hardboard, get it cut to 4 foot x 2 foot sheets out of an 8 x 4 sheet, easier to handle,lift the old laminate, and brush clean then mop with mild bleach, allow to dry overnight, resecure any loose boards ,check for any pipes before you bung loads of screws in, lay hardboard, dimple side up ,cut around toilet pan, etc, use 3/4 or 1 inch annualar ring nails,use knee pads, then make a tenplate out of thick paper to fit round toilet pan, lay vinyl, use a cover strip at doors, short screws about 3/4 inch, seal around base of bath with silicon and around toilet pan to stop water leaking underneath.
youll need a sharp stanley knife, a first aid kit,lots of towels for when you slice into your fingers, and its a difficult job, and expensive if you rip the vinyl.
Never cut towards yourself always away, a carpet fitter told me of a lad who cut the new carpet towards him knife came out of carpet, up his leg from knee to groin as he was kneeling down, huge mess and a new carpet required, not to mention a lot of stitches and a large cost to the firm.
Vinyl Tiles are easier, thats what i used.