You have undertaken to request several quotes for your move and it is a good reflection.
Please take your time to analyze them and ask yourself the right questions, such as:
Did the volume estimated in the same way ?
What are the differences between insurances?
Are they similar services, such as packaging, unpacking, reassembly the furniture?
Is there any fragile items to include in this quote? In this case, are there any protections included?
Are there no hidden costs? that the quote does not include such as VAT, RPLP Taxes, …?
At this time of profit and better business, please pay attention to suspicious companies. Be careful, they can be attractive with their prices but you will not have any guarantee of quality or of any insurance!
Make sure employees are registered and work within the law. ISO standards 45001 can confirm it.
Finally, it does make sense to be able to count on a reliable and competent partner. Learn about the business because moving is one of the three biggest stressors you can encounter in your life. Avoid problems! For this, you can compare reputations and check if they have recognized standards.