I use little baby nail scissors from Boots - they are ace, and much better than clippers, for me, anyway. DD is 11mo now though and wakes up if I try and trim them while she's asleep, so it's not got much easier!
Clippers here - DD2 was born with tallons and they grow incredibly fast. DD1 learnt the word "incentive" very young owing to DH's technique of offering bribes (chocolate buttons usually) to sit still while her nails were cut. The pattern was well established before I found out about it!
We were recommended putting vaseline on them every day to soften them but this was nearly 12 years ago so it's probably a no-no for some reason now Did it religiously after I nicked her finger trying to cut them one day - completely traumatised me.
Socks are great to use instead of scratch mitts at night I found because you can pull them up high. My DS could always escape scratch mitts! I've always used scissors when he's asleep. He's 1 now and they still need cutting about 3 times a week!
My db is convinced that it's easier to cut tiny baby nails with scissors rather than clippers. I'm far to scaredy to do that but it might work for you?
Otherwise I think it's just practise. My 17 week old ds needs his nails cut 1-2 times a week and I've become an expert at it through forcing myself to do it. Also helps if you can find something to distract them - I find the tv works well.
Clippers worked best for us. I did cut dd once and felt awful but read that it happens to everyone once! if you can do it while they are asleep or partner can do it while you are BFing then he is less likely to wriggle.
I've tried everything I can think of - filing them (once he's asleep, he moves his hands too much otherwise). Nibbling them myself. Very carefully clipping him but I caught his skin once so I don't want to do that again.
Whatever I do they're so sharp! he scratches the top of his head and tears the skin, he scratches me when bfíng and cuts the skin. Filing them very carefully for 30 mins helped slightly for like 24 hours then it was back to nails like that guy from Friday 13th, only attached to tiny cute little fingers.