One with a leased battery will like for like be cheaper than one with a outright battery.
You’ll need to make monthly payments for the lifetime of the car, though there will also be a element of battery warranty.
Given how well batteries are performing personally I would not go with the lease option, as I suspect as the car ages it will become more difficult to sell / trade in the future.
Buying out the lease is a option should you find a ‘unicorn’ car that you must have.
As for charging yes you can use a standard 13a socket, obviously this will be slower than a dedicated domestic charging point.