No need tp pre-cut cigars. I have flown at least once a month for the past 10 years and have never had an issue with TSA and my cutter. Ever. it might be different with a scissors type cutter but my guillotine cutters have never even been given a second look.
As far as lighters, I carry cheap plastic torch lighters which are less likely to get picked up on the x-ray equipment by TSA. I still get one confiscated now and then but if I do I am only out $5. if it does get confiscated, I then go and buy another cheapie when I get to my destination.
If you cannot find a travel humidor, I would suggest going to Walmart and buying a small tupper. They also have cheap plastic torch lighters in the checkout lanes for around $5.