I could not recommend this AirBnB enough. It is super central (like 5 odd minutes to the astronomical clock) and has got everything you need. It is clean and open and charming. There is a Tescos literally around the corner where you could get your shopping done. Also loads of other shops really close by. Same applies to Bars, Restaurants etc.
You even get a workout whilst staying there as there is no lift up to the third floor but it keeps you fit! hahah