If you're thinking A4, then you can use tracing paper (velum) that's suitably thin and print using a laser printer to that to get your UV masks (it's what I use when I'm putting boards together). KiCad is good for this as it'll export the board file, the drill file, solder mask and silk screens (I think eagle does the same thing, but you're limited to a Eurocard size 160x100mm board).
I'd recommend a proper roller laminator to apply the films, I've tried using an iron and a hacked laminator, they're very hit and miss (although there's a larger laminator that would probably be an easier hack than the one I've used) as they're not designed for 1.6mm thick board - you may be able to use some sort of press, but you may struggle to apply the requisite pressure for good adhesion, a laminator is definitely the better option here.
For the same price (delivered - delivery cost of that press was £350!) you could get a proper laminator that would allow you to go up to A3 sized boards and permit the use of other materials:
https://www.megauk.com/dry_film_laminators.php
You can get away without tinning the plates if you're going to solder straight away, it will be better to tin them though. Via's can be installed as tiny copper rivets with a small arbor press type installer (an arbor press that's suitably adapted may be a good investment though as it's got more uses than the single use via/rivet installer - may need to machine up suitable anvils to do the installation)