I'd encourage you to review the text of the statutes themselves, which can be found at ORS 90.295 - 90.302. (See link, below.)
If you've got specific questions about the ways in which you might structure a rental agreement with a tenant, you would be well advised to retain an attorney who can advise you on all the current ins and outs of landlord/tenant law, including the differences between deposits and fees and the most effective and advantageous ways to operate a rental and protect your property while renting to tenants with pets.
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