Need a Room,Studio or One Bed Flat

we are a lesbian couple looking for a room, studio or a one bed flat to rent we don’t have a guarantor unfortunately as i have no family but it will be us and a very well behaved fully house trained indoor one year old cat? we want it to be a quick process as we are staying with my partners family at the moment and it is over crowding we are with canterbury council who have said that they will help with rent and deposit, we are both working people and will also have universal credit as top up