You will file a Part-Year Resident return for both California and Oregon. In the state interviews, the total of an income category (Social Security, for example) will be carried over from your Federal return, and you'll make an adjustment to that amount for the state amount. Use the Gross Amounts you receive.
The easiest way to do this is to divide your total by 12, then multiply by number of months lived in that state. You could use 10 for CA, and 2 for OR.
All the sales expenses, plus expenses of getting the house ready for sale, would be added to your Cost Basis when reporting the sale. However, unless you have over 500K in profit (for MFJ), you won't need to report the sale on your tax return. Save your 1099-S and closing documents, plus any receipts for improvements, with your tax records, as documentation for your Cost Basis.
Here's more info on How to File a Part-Year Resident Return and Allocating Income for a Part-Year Resident.
Also, to help you, info on the Home Sale Exclusion and Calculating Your Home's Basis.
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