I have w2 and unemployment income from last year 2021 so which turbotax software (Deluxe, Premier, Self Employed) should I use? Also I have dependents too.

The Deluxe version would be appropriate for your situation. If you need to upgrade for any reason, you will be prompted to do that so you can always start in deluxe and upgrade if necessary.

But when if I switch from delux to other software don't they charge extra for that?

Yes ... if you have to upgrade from Deluxe to Premier there is an increased cost.  

Be aware that  the online TurboTax Free Edition is very limited to only simple returns--so be careful----if your return requires any of the schedules or extra forms then an upgrade to a paid version will be required.   https://turbotax.intuit.com/personal-taxes/online/ 

There are still eight various software providers who will participate in the Free File program.

Use this IRS site for other ways to file for free:

https://apps.irs.gov/app/freeFile/