A few considerations:
The rate you get and what your thoughts are on simplicity: If you pass away, your insurance beneficiary will need to contact the insurer and provide paperwork to receive the death benefit. There is a dollar amount difference I would pay so my spouse would need to do that with two companies, but not a significant amount.
The amount you currently have, if you need a medical test for the new policy, and the rate you get: With most companies if you have over a certain dollar amount you need to take increasing levels of invasive medical tests. Depending on your health, it may make a difference to what kind of rate you will pay and how much you will be approved for.