Some good bars in the city centre
one up Royal Exchange Square fab cocktails or Metropolitan, Merchants Square, also does cocktails & has a champagne bar by the glass, the bottle or the Magnum.
Also try the Horseshoe Bar a Glasgow institution, very busy & friendly.
Fifi & Ali do good food but the sevice can be really slow if they are busy & if you want to go in the evening their West |Campbell St branch may be a better bet.
No one has mentioned the Cafe Gondalfi in Albion St they also have a bar & a fish place. It has been going for almost 30 years& is relaxed,atmospheric & the perfect place for long girly lunches.
If you are feeling flush 2 fantastis restaurants are Rogano Royal Exchange Square or the Ubiquitous Chip aka The Chip in the West end, these places have been on the go for years & you would have to book, They are very popular.
finally for Italians, there are loads in the city I would also recommend Sartis