i only brought bank statements from my husband's account, as i haven't had an account for a while, and when i did, there wasn't much in it... lol. i am not sure how much money they consider to be sufficient, though. i guess that would depend on how much money you spend on your rent/house payment, etc.
if you both have accounts, you should probably bring statements to show that. the more money that you can show them that you have/can make, the better. basically, they want to make sure that you won't end up sucking money off of the government's funds and stuff like that. (i.e. whatever welfare is called in England...)
also, a letter from your sponsor's(your husband/wife's) employer is needed by the Consulate. in this letter, they should state how long the sponsor has been employed by them, how much money they currently make, and plans for the future with the company. (this shows financial stability.)
are you applying for a marriage or fiancé visa? from personal experience, (and also from what i hear...) the marriage visa seems to be a less complicated process than the fiancé visa.