If you have the cost of Humira covered by private insurance, then moving and coverage is not an issue.
However, if your coverage is through a government pharmacare plan, then you'll need to check on the Alberta Health site to see what the requirements are for coverage. You might also want to check with the Ontario health care plan to see if you can buy extra Humira to last you until your coverage kicks in in Alberta. For example, if you were moving FROM BC, you would be able to get a 180-day supply of your drugs covered by the plan. If you were moving TO BC, you wouldn't be eligible for pharmaceutical coverage until you applied for both medical coverage (doctor's visits) AND the pharmaceutical plan.
Hope this makes sense.