flat for rent with pets

Nothing really specific to help you with cats and dogs etc. The two main websites for property rentals and sales in the UK are http://www.rightmove.co.uk and http://www.primelocation.com and there is also one called Zoopla. They all have extensive search engines. As for the pet thing.... well some agents will say specifically on each listing, others you will have to ask. It wont be as easy as it is here. The UK rental market has a lot more risk for landlords so they are not so willing to have pets. Mainly because deposits are low, rental periods are shorter and the potential damage caused by pets can be greater than the deposit. The deposits are also held by a third party that generally favours tenants more. But some landlords are ok about it. Also just bear in mind that the London rental market is hot and fast moving which may make your job harder. Good luck!