Baby tub

I will be moving in with my mil so we can save up for a down payment for a house. By that time we would be living with her when I give birth to my daughter. Well we will be staying downstairs with a bathroom attached to our room and the living room so two doors for the restroom. The bathroom has a standing tub with only a shower. They also have a bathroom upstairs but I don't want to be going up and down the stairs just to bathe her. Would any baby tub work or should i get a specific one since the tub is like this? I would use the sink in the bathroom but it's way too small.

It's like this a standing one with only a shower (not the best pic)