How would you take an untamed hamster to the vet?

[Lizchewy]

Hello. My hamster is not ill and not in need of a vet touch wood but it has crossed my mind that if I did need to take him to a vet how would I do it with him not being tame yet? He sleeps all day long and gets up around 7 in the evening. Originally I was thinking I could pick up his igloo whilst he was sleeping and pop that in his travel carry case. However I have now made him a bigger cardboard box house with no bottom after realising the igloo was too small for him and I am currently waiting for him to move in to it. So to get him out if I needed to I would have to open the lid of the cardboard house and lift him out with gloves on? Or would I try and coax him out of his front door with a treat in to a cup and then put him in to the travel box with a cup? Luckily he does not need a vet now but I didn't want to wait until he did before making a plan. Any advice would be much appreciated. Thank you in advance!