If this case involves property damage to a vehicle you own, then you generally have two options to get your motorcycle repaired:
Request that the insurance company for the at-fault driver pays for the repairs. Once the at-fault insurance company officially accepts responsibility for the collision, it will allow you to take your vehicle to the insurance-approved repair shop of your choice. It will then cover the cost of the repairs, as well as any reasonable rental expenses while your vehicle is being repaired.  Be aware though that all insurance companies are different: some will set up a direct bill for any rental car while others will make you pay for it upfront and then require you to submit bills for reimbursement. Also, be aware that insurance companies will never reimburse you for the extra insurance that all rental car companies try to persuade you to take; or
Request YOUR insurance company to do the repairs and get reimbursed by the other driver’s insurance company. This option though is only available if you have collision coverage. If you feel more comfortable with your own insurance company doing the repairs, you can have your insurance company pay for your vehicle to be repaired at the repair shop of your choice, along with any rental car expenses (assuming you have rental coverage). In most cases, you will need to pay your deductible to initiate the repairs. Just to get your business some repair shops will be willing to waive any up-front deductible. The deductible would then be reimbursed or paid once your insurance company recovers it from the at-fault driver’s insurance company.
Your motorcycle accident attorney will assist you with either option as necessary.