My favourite way of removing a few links from a chain is to put it in the vise with an old nut a little bigger than the pin you are trying to drive out.
Place an old pin or cut down nail on the pin (balancing act).
As you tighten the vise, it will push the pin through the old nut and your chain is separated.
Watch out for ricocheting flying bits if it slips off under pressure.
Just remember before you go caveman on the chain to adjust your rear chain adjusters right out to their furtherest possible so the rear axle and wheel can be pulled back to the max.
No point chopping out more links than you need to.
Don't worry, once the chain is on it will slacken a little and leave that 1/2-1 inch of play in the lower section of chain halfway between the sprockets.
Probably a few days of riding it will require a slight adjustment again, only use chain grease especially if it is an "O" ring chain.