Hey Buris,
Like any City, Liverpool has the good, the bad and the ugly. If your husband is working in the City centre then you'll find you have a vast range of property to choose from. Bear in mind that there are 2 tunnels under the river Mersey, so you can live on the Wirral as well.
The motorway network is very good, so you could even extend your reach as far as Chester, Cheshire or Moss side.
If you could give us the first part of the postcode where he'll work e.g. L8, L1 etc. how long (in time) he's comfortable to travel to work and roughly how much you're prepared to pay for a property, I might be able to point you in the right direction.
Exciting, isn't it?