easy on the 1.6 - done it loads of times because of gearbox failures.
You need to pop out the drive shafts - you can actually do this easily by unbolting the front wishbone bolt on the passinger side - this allows enough movement to pull the cv bearing apart (cut of the gator clip at the geabox end).
Once that is free you will need to remove the battery, airboxes, under cover if you still have them.
I would also personally drain the small amount of oil in the box and put fresh in.
Once all clear, clamp the pipe going to the clutch slave and remove it (you dont have to clamp it but it will save the brake fluid going everywhere).
Pop off the gear selectors cables (they just pop off, you need to wedge a long screwdriver or similar to do this) - keep note where they went.
UNBOLT the exhaust flex joint! the engine will move when the geabox is off and will break the flex joint, i have personal experiance of this - not once but 3 times !!! im a twit....
Then its just secure the engine which ever way you can, if your using a jack on the sump - SPREAD the weight otherwise you WILL end up with engine oil leaks. You are much better off with a engine lift or simlar tbh.
Now once thats secured, remove the engine mount that is under the battery tray.
Remove the mount on the back of the diff. )also keep note on the assembly here as its a bit strange and can catch you out.
unbolt the gearbox ffrom the engine and lower to the floor.
Now ive had a couple of 1.6 engine stilos, one an 03 and the wifes current is a 53, yours is an 02 so i cannot highly recomend enough changing the diff pin
read this thread
https://www.fiatforum.com/stilo/98016-1-6-driveshaft-housing-gearbox-failure-pictures.html
for the little cost involved and extra time it takes it can be a life saver, getting hold of 1.6 gearboxes are a massive task and blooming expensive - ive done it twice now and it isnt fun....
just remember to get a new roll pin as well ( i always forget until ive got the diff in pieces), i now always change the pin on a clutch change.
roy