Thanks bro, sure why not.
We didn't used public transport anywhere so I cannot comment on transport charges. If you're planning to hire a car I can tell all costs and requirements.
In Nice-France we stayed in Ibis Hotel, it was 120 Euros per night for standard room. Monaco is quite expensive, it's better to stay in Nice and drive to Monaco as it is only 30-40 mins drive.
I'll try to put hotel and food cost for rest of destinations, as till Venice we didn't stayed overnight and did one day trips from Milan and Milan we were staying at uncle's house 