There is absolutely nothing wrong with feeding in the home enclosure. You will probably notice it is a lot easier. No moving the snake, no frantically washing hands etc etc.

You also don't need to wait 2 hours if you are feeding two prey items. Once the first one is down and the snake has yawned and is moving around a bit, you can offer the second. You also might want to think about offering one adult mouse instead of two fuzzys. Hatchlings are usually started on hoppers (bigger than fuzzies) and move to adult mice after a few feedings.