Under the current tax code, personal moving expenses are not deductible unless you are moving under military orders. Business moving expenses are deductible, and since you are self-employed, you are moving both yourself and your business. So you are going to get some deduction on schedule C, but you must not view this as an opening to deduct your personal moving expenses under the guise of your business.
Regarding business travel, much of what you spend on the trip is deductible. The IRS has a great guide to help with the details. Two important things I'd emphasize: Keep very detailed records, and, you only get to deduct unreimbursed expenses. But here's the tricky part: The company that is reimbursing your expenses should do so under an accountable plan. If they do that, the reimbursements are not included in your 1099-NEC, which simplifies your own accounting, and relieves you of the burden of justifying those expenses if you are audited. If they include the amount of the reimbursement in your 1099-NEC, then you'll have to take the deductions yourself, and will bear the burden of proving the business need for the travel.
Nick K, EA
