Internet bridge from house to shop.

For cellular you can look at "in home repeaters". Cost of about $200 - $300. Has an external antenna, (usually a directional antenna or yagi) and a rebroadcaster inside the structure. Register the system on one of the cell providers websites. Be sure to select a solution that matches the frequency bands used by your cell provider. Also, understand the location of your servicing cell tower

https://www.findmycelltower.com/
Used a cell rebroadcaster on a steel roofed cabin with success.

Other, non-hardwire connectivity could use a Wifi Repeater from the house but challenge with the steel structure.

Good luck