Oops - I thought you'd sold the Uno Turbo!
I think it might make a difference if it's the Mk2 rather than the Mk1. Simply because, when I changed the cambelt on a 1372cc Tipo, it was considerably harder than on a 1301cc Uno, because the crankshaft pulley has to come off (the oil seal casting has an extra 'wall' to protect the cambelt, meaning there's no way to get the belt out with the pulley in place.)
It is a reasonably easy cambelt to change, compared with newer cars. Not as easy as the 999cc FIRE (the easiest of them all), though.
The alternator belt has to come off, so yes, it would be worth replacing if there is any glazing/cracks, i.e. if it looks anything less than 'new'.
There is probably a little sliding window in the back of the cambelt cover (again, assuming it's the same as the Tipo's 1372cc engine). With the cover slid fully open, a peg forms the timing mark - it aligns with a notch between two teeth on the back of the cam pulley. It may of course take two turns of the engine before this mark lines up - careful

Also look for the flywheel marks through the bellhousing window. You want the leftmost mark for TDC.
Then the cambelt cover comes off, and I think you'd be wise to mark the auxiliary drive pulley (the front pulley) because (unless I'm very much mistaken

) this drives the distributor on the Mk2 Turbo engine?
And you then get to possibly the trickiest part of the job - slackening off the alternator. I think on the Turbo you may have to do this from under the car - very little access on top.
To slacken the large crank pulley nut, you will need a giant socket (I have a 36mm and I'm pretty sure yours will be this size). I usually use an air impact gun, but on a few occasions when that hasn't worked, I use the 'whack' technique. Fit a long bar to the socket and leave it hanging in front of the engine near the floor, unplug the ignition coil, make sure the gearbox is in neutral, and flick the starter.
That's the hardest parts of the job over - now you need the special FIAT tool for setting the tension of the new belt... hahahaha... how about two M5 bolts in the holes of the tensioner and a thick Phillips screwdriver threaded across them to act as a lever?
Please, please, please turn the engine over at least two complete turns after you have fitted and tensioned the belt... don't even think about starting the engine until you have re-checked the belt tension several times...
I once had some hassles with cam timing (kept getting it wrong on my 128's 1498cc engine), repositioned and retensioned the belt and tried to start the engine - it didn't start, but when I released the key there was a 'clunk'. Many hours later the engine did start but ran roughly - I had bent one inlet valve. That head removal was an extremely time-consuming alternative to the option of double-checking the belt tension...
I have found that with these engines, it is easy to over-tension the cambelt. People use the '90 degree' rule of thumb (which says it should be just possible to turn the belt through 90 degrees along its longest run), but I personally feel this is too tight in most cases, because you get a whining noise and possibly other strange 'skirfing' noises at idle.
What I do is start with the '90 degree' tension, then slacken slightly in several small adjustments until the strange noises go away. I base this decreased tension on the comparison with the old spring-loaded tensioners on 128s and very early Unos... they leave the belt with relatively little tension.
Now please note that I take no responsibility for bent valves, engine damage... so please feel confident that your tension is sufficient and if not confident, then leave it tighter rather than looser.
On the engines where I've had to remove the pulley, I can do the job in one hour. Plus an extra hour if I decide to replace the camshaft seal (evidence that this is required appears as excessive oil on the inside of the belt cover). You might think that's a lot of extra time, but it's mainly because of the cleaning and the difficulty in removing/retorquing the cam pulley.
-Alex