Ah yes, here I am! I was in Bradford this morning and although it has character, it certainly isn't anything like Durham, in terms of atmosphere or charm. Durham, if you have been, is an historic college town, with a collegiate atmosphere. Bradford is a gritty, down at heel, post-industrial city and I can honestly say that I couldn't recommend anywhere to live in the city itself (but maybe someone will chime in who lives there and likes it?!). The university campus is quite central. Some of our neighbours studied there and liked the easy going, unpretentious atmosphere. The student population is quite diverse, with a good international mix.
Although I can't think of anywhere to recommend in Bradford itself, there are many great places close to Bradford, with very easy transport links back into the city. Public transport in West Yorkshire is cheap and efficient. What kind of place are you looking for? Urban village - Saltaire (world heritage site, art galleries, dinky shops, good park), just north of Bradford. Small/medium sized towns - Bingley, Baildon, Ilkley (my home town - I love it), Sowerby Bridge, Hebden Bridge (funky little green/eco town - one of my favourite places in Yorkshire). Suburban towns on the edge of Leeds - Guiseley, Horsforth, Pudsey. The countryside is great in Yorkshire and you're never far away from beautiful moorland scenery.
As you're in Lincs. come over for a visit. Choose the worst weather (there's a lot of that) and if you like somewhere on a rainy, misty, cold day, you'll be in heaven when the sun shines!