Looks like you are going to be living up to your name, Lucky lady
It depends on how poopy they are really. Big dags can be clipped off with normal daggers, being very careful not to pull on the dags as this tents the skin and makes cutting the lamb almost inevitable. If the dags are very close to the skin, you can slowly and carefully trim off those you can get to with scissors (we use those on a swiss army knife - tiny but not pointed, and usually in my OH's pocket anyway. I say 'we' - I hold the front end while he deals with the stinky end
)
Once you have trimmed off as much as is safe, you get a big bucket of warm soapy water plus a sponge and a comb and start washing
. If the dags are dried, you will need to use the comb either dry or plus water to get everything off.
Great fun - I don't mind because I get to talk to the lambies