Here is a list of towns in the uk that begin with the letter b, you can place your council or housing association exchange in the one where you live.

Ukhomeswap homepage is located here

bala
baldock
ballachulish
ballycastle
ballyclare
ballymena
ballymoney
bamstaple
banbridge
banbury
banchory
bangor
banstead
barking
barnard castle
barnet
barnsley
barry
barton-upon-humber
basildon
basingstoke
bath
bathgate
battle
beaumaris
beccles
beckenham
bedford
belfast
belvedere
benneet
berkhamsted
berwick-upon-tweed
beverley
bexhill-on-sea
bicester
bideford
biggar
biggleswade
billericay
billingshurst
bingley
birkenhead
birmingham
bishop auckland
bishop's stortford
blackburn
blackpool
blaenau ffestiniog
blairgowrie
blandford forum
blaydon-on-tyne
bodmin
bognor regis
boldon colliery
bolton
bonnyrigg
bootle
bordon
borehamwood
boston
botness
bourne
bournemouth
brackley
bracknell
bradford
braintree
braunton
brecon
brentford
brentwood
bridgend
bridgnorth
bridgwater
bridlington
bridport
brighouse
brighton
bristol
brixham
broadford
broadstairs
broadway
brockenhurst
brodick
bromley
bromsgrove
broxburn
buckfastleigh
buckhurst hill
buckie
buckingham
bude
builth wells
bunessan
bungay
burgess hill
burnham-on-sea
burnley
burton-on-trent
bury
bury st edmunds
bushmills
buxton