I am sure that employment can be found for you here in our fair sooty city. This very weekend there is a ball, and I plan to attend. While there, I shall speak with a few of my fellow Babbagers on your behalf. Surely one of them shall have an entry position to offer to a young accountant.
As for lodgings in New Babbage, there are several places that offer rooms to let. While Brunel Hall is a fine hotel, the rent will be beyond your means I fear. Perhaps a more modest establishment, such as the Steampunk Hotel, will be better suited. I will speak to Shay McDowwll if you so wish.
Another possibility for lodging is the loft of Her Dark Materials, owned by Bela Lubezki. I shall also speak with her and see if the loft is available.
Finally, as to your inquiry concerning firearms, New Babbage is a safe and prosperous for the most part, but there are a few unsavory thieves about. A small pistol, discretely carried, should be sufficient.
I look forward to seeing you soon dearest nephew.
You uncle Wiggy