Hollies are notorious for suckering and sending up water shoots. The wood will likely be sappy, wet, and will want to bind up your saw. So make sure there is proper "set" on the saw teeth to ensure that each pass ensures the cut gets cleaned out. With the sap the tree will be surprisingly heavy, so watch out!
You may have a set of tree trunks all of which are suckers from an earlier cut of the main single trunk which responded by sending out multiple shoots that matured into "trees". In which case each one is likely to have a lean on it already that will pretty much determine where it falls.
Normally when dealing with thin, tall trees you want to control where they fall by running a substantial rope high up in the tree, attach it via a pulley to a vehicle so that as one person cuts the tree the vehicle pulls the tree towards the pulley.
Also you can help a tree fall the right way by using wedges. Cut into the tree, then hammer a wedge into the cut to force the tree to fall as you determine.
Safety first. Read Jurp's answer carefully. Remember, the tree will be heavier than you imagine. If in the slightest doubt, get professional help. A good workman is worth his hire.