Hello from a neighbour north of you in Manitoba and welcome to ATP! This is a great gardening website. How exciting to join the lily societies.
Your lilies look like a variety of trumpet- perhaps Regal Album or maybe Ortega? Anyway, as far as dividing and moving them it is preferable to do it in the fall but you can do it in the spring. The risk of course is to breaking the tender growth, but if you try to take up as much of the soil clump as you can this will help lessen the damage. If the stems get broken the lilies won't bloom this year, but the bulbs should be fine for next year. Good luck with renovating your garden beds!
