It’s not irrational. Thinking it is is a privilege of someone that didn’t get it badly or have to caretake someone who got it badly. Over 60% of deer ticks in NH carry the bacteria that causes Lyme. No need to stay in your house, but definitely use precautions laid out on this thread.

Edit to add: other ticks besides deer ticks carry other nasty tick borne illnesses like babesia, erlichia, anaplasmosis, etc. you do the same stuff to prevent the other ones but just because you weren’t bit by a deer tick doesn’t mean you’re in the clear

Good luck on the move! Yes, stay out of tall brush and dead leaves, you should be fine. I certainly keep eyes out for ticks after a day in the woods, but rarely find them as I mentioned.