People seem to like them. And if you like how they feel and it encourages you to get out on the bike then, by all means get a bike with suspension. Take a test ride, 30-60 minutes on your prospective bikes. You will get a pretty good idea of what you like and don't like.
I think the bad parts of suspension is that they can be cheaply and poorly done sometimes. The more recent good quality comfort bikes seem to have good setup but others more familiar with suspension would have to chime in on that.
Pros:
Makes for a plusher ride
Cons:
Weight
Expense
Maintenance
The cons can be far outweighed if the suspension gets you on the bike. The expense is a one time thing, maintenance needs to be done anyways, it will just cost a little more at times. The weight will become a non-issue unless you desire to do much faster, longer or more technical riding.