We are in Normandy and I can only say that we have not witnessed any problems and have only been mildly inconvenienced from time to time.
We have avoided the centre of our local city on strike days (usually only one a week) and have sometimes had to find alternative routes around the ring road. Public transport has been disrupted but our rubbish has been collected as normal.
If you are in the centre of Bordeaux and there are still big strike days, then you would need to avoid the marches, but the préfecture will give advance information and close off the route.
This site tells you about strikes that are planned.
www.cestlagreve.fr/
There are some fuel shortages up here, but we haven't seen any big queues. (We have an electric car).
I suspect it will be over by May, but obviously I don't know.
🤞for you.