May I still suggest a B&B anyway, as it's definitely far more akin to a boutique hotel than to 'Mrs Bloggs' guest house'? (It's got a 4 star rating from the British Tourist Board and, at £85 or £95 per night at this time of year, priced in line with many good hotels).
I've had a couple of lengthy stays (courtesy of the firm I was working for) at Copeland House and it's an absolute gem. It's right by the sea, on a side street where you can normally find free parking nearby. (If not, there's an pay-&-display car park next door, where any unused time on the meter after 8pm is automatically credited forward to after 8.30am on the next day, so that you can pay the night before if you're planning on having a leisurely breakfast).
The location couldn't be better (just a few minutes from the shops, restaurants and bars but still in a quiet location) and the landlady, Georgina, is a lovely lady who goes out of her way to help people. The rooms are beautifully furnished and the food is first class.
http://www.copelandhouse.co.uk/