We never had a baby tub, he started off with sponge baths and as soon as his cord was healed he was in the big bath. We started with a bath sponge to lay on and when he outgrew that he got a folded large towel to lay on ( yeah more laundry
If he is in the bath alone we now have a seat but to be honest more often than not daddy is in with him and we have a rubber mat on the bottom. it's their time and they have a blast and I sit on the toilet alongside or use that 10 minutes to do other things.
Then he is handed off to me wrapped in a towel and we get dry and dressed while daddy takes a shower. Sometimes we stay in the bathroom and just hang out with daddy while he showers with munchkin wapped in a towel on my knee.
He doesn't care about water in his face so we just dump handfuls of clean water on him. He gets deep baths when he is in with daddy.. up to his chest and loves to bend forward and get a facefull of soap suds and water. He sometimes lays forward and tries to crawl but he can't get far and most definitely is made to sit down if he tries to stand... bathtime is a family affair.. there is always at least one or more cats trying to join in.
Bathtime is a blast in our house .. DH doesn't bath him when he is flying solo and I don't often have to bath him alone either.