I have a jacuzzi and it's a pain to clean,,you need to rinse and clean the jets after each bath. Also, it takes a ton of water. I don't know how the bubble tubs work,,they might be better,,you might want to read about them and see what they require.
When we'll redo the bathroom sometime in the future, we'll choose a soaking tub

Can you use bath bombs in them?

Never used bath bombs until a couple months ago. My teenage girls love them and now I'm hooked!

Jetted tubs are horrible to clean. Yes, you can fill them & disinfect with bleach but If you only use the jets occasionally I'm never sure if there is a buildup in the lines. So I rarely use the jets. Cleaning the exterior portion of the jets is also a bother as it is plastic and darkens from the iron in water no matter how much you scrub. Maybe other brands are better than mine. I would either go with air or soaking tub.

I have a tub like the one shown above in beige. I would like to know where I can purchase a white cover to match my new decor?

Air tubs are easier to clean than whirlpool because they have self-cleaning features. However, it's not recommended to use bath bombs in either air or whirlpool tubs because they can clog the jets, which would make a soaking tub your best choice. You can read more about the differences between air and whirlpool tubs here.

How noisy are the motors usually in jetted or bubble tubs? The ones I have been have been in retreat cabins, and they were so noisy I could not enjoy the benefits of soaking.