Remove and replace ceiling

The first floor of our house has a bouncy floor and a few low spots throughout the house.
The basement is completely finished

I am planning to --

Cut open ceiling in basement (one room at a time)

Strengthen the joist (sistering/bracketing)

Put a new ceiling .

The existing ceiling is plaster and I can replace with drywall OR drop ceiling whichever takes less labor

Questions --

1) What is the right tool (power tool preferred) for a clean cut plaster ceiling slightly over 1" thick (I have cut holes earlier for recessed light installation using carbide tipped hole saw)

2) Since I do not have a helper, I am planning to hire a handyman when installing the ceiling. How much time should I plan per room (not considering taping and mudding which I plan to do later).

3) Any tips

 

That's a lot of work - it makes sense to come from below rather than above?

 

Really need to rethink that plan.
I just can not imagine how doing one room at a time is going to work out as well as pulling it all down at once for several reasons.
Plaster is really heavy and a mess to deal with so why have to deal with it several times?
Rent a dumpster one time and get rid of all it in one trip.
That way your only dealing with all the clean up and dust one time.
Once it's all down you can see the bigger picture of why it's sagging and bouncing.
Going to need goggles, dust mask, big shop vac with drywall bags over the filter, flat shovel, 6 mil. plastic and tape to cover any vents and door ways.
I use a long hose connected to the exhaust on the vac to blow the bypass dust out the window.
If there's any windows have a cheap box fan blowing out after removing the screen if there is one.
A 4-1/2" right angle grinder with a diamond blade will cut the wall to ceiling seam the fastest, best to have someone holding the shop vac hose close to catch some of the dust.

 

Thanks . Why I am planning one room at a time is just to see how big a problem it is . I will cut open one room (most likely the garage ceiling) , and if the joists do not have any major issue (termite etc.) will stiffen and close it .

If I see major problem, will open the other ceilings. Dust should not be a major concern if I do the garage -- keep the garage door open and dust goes out. For other rooms, should I make the ceiling wet

 

From above means , remove the hard wood and subfloor ?

 

I don't know what it means since I don't know what kind of flooring you have or what condition it's in - it was for you to answer for yourself.