My two have never had swimming lessons. DD is almost 5yo and DS is just turned 3yo. Neither of them have had official swimming lessons though we do go to the pools and beach alot...usually once a week.
Swimming lessons IMO are hugely over priced and completely unnessasary until school age. At ages 3 and under its about water familarisation and 3-6ish years its about building confidence in the water. If you throw a child into swimming lessons who have never been in water before or hasnt had enough time in water to feel safe then your just playing with fire IMO.
yes learning to swim is important but LESSONS...no, waste of time if you ask me.
BTW, DD has swim very well without floaties (we took them off when she turned 4). She can swim under water, kick and do basic stokes (breast stroke). DS is still wearing floaties (in the pool, not the beach) and is learning to kick and his confidence in growing. It will be interesting to see where she is in comparison to other kids when shes starts lessons in school next year) He loves to jump off the sides play on is kick board.
Id leave swimming lessons and instead take your bub to the pools regularly and focus on water familarisation.