Hi, I live in North Lanarkshire (Coatbridge). Happy to answer any specific questions.
North Lanarkshire is a deprived area tbh. Airdrie and Coatbridge town centres are awful. Just this afternoon i was walking through Airdrie Town Centre for lunch and saw the police telling off a group of school kids who were shouting abuse to people in the street. On a Sunday when i go for my shopping, there are again loads of small gangs of kids running riot around the shops and loitering in the street shouting abuse at each other or to people passing by.
Coatbridge is marginally better. Less of the teenage gangs and more of adults off their face roaming around or hanging by the steps of St Patrick's Church. One 'intoxicated' man started saying some awful things to my child as we walked by him the other day on our way to the library. Complete shit hole.
Asides from the high crime rate and anti-social behaviour, there are lots of schools and things to do in both these areas. There is a bowling and cinema complex in Coatbridge and The Time Capsule for swimming and Ice Skating. There is also the Summerlee Heritage Museum which is nice. Lots of good public transport links, too.
From my experience, I'd definitely avoid Airdrie. Would make life easier for your husband for commuting, but it's just not a nice place at all.
There are some nice-ish spots in Coatbridge. Carnbroe is a nice area. And Blairhill is sometimes considered 'the posh' part of Coatbridge. 
The two major high schools in Coatbridge are St. Andrews and St. Ambrose. St. Andrews - I would not recommend. I have a friend who works there. However, if your kids are sporty then they have a really good sports complex/gym facilities.
St. Ambrose appears to be better. And have good links for children interested in music. It's also right next to Drumpellier Lochs, which is a lovely walk.
I have limited experience outside of Coatbridge and Airdrie. I've visited Motherwell a few times for shopping, and the town centre isn't great. Though has less 'stoaters' than Airdrie and Coatbridge.
Sorry i can't be more positive. I'm looking for a job/house outside of Lanarkshire as i don't want to live here any longer. Went out last night to find that my car had been scraped yet again by daft school kids walking by and vandalising everything in their sight (have caught them doing it three times previously to other cars on my street).
Maybe we could swap? 
Any other questions re. Airdrie and Coatbridge just ask on here. I've namechanged anyway to answer this post so no privacy concerns.