Reserves are money you show, not money anyone takes. The lender wants to see documented funds left over after closing, stated as months of the full payment (principal, interest, taxes, insurance, and any HOA). Nobody escrows it. You keep it.
Rough shape on a $300k duplex you'll live in. Down payment depends entirely on the program, and owner-occupied duplex programs can go quite low, so get that figure from your lender rather than from me. Closing costs commonly land somewhere around 2 to 5 percent of the price, which is $6k to $15k here, and that bucket includes lender fees, title, recording, and any transfer tax, which varies a lot by state (some states charge nothing, some charge over 1 percent). Then prepaids and escrow setup, meaning your first insurance premium plus several months of taxes and insurance deposited into escrow. Then reserves, often a couple of months of payment on a duplex.
The part people leave out is the money after closing. Getting the rented side collecting under your ownership costs something: a lock change, a make-ready if the unit's tired, and the deposit you inherit from the seller, which in most states you must hold under specific rules and return with an accounting. Make sure the deposits actually transfer to you at closing and that the amount is written into the settlement statement. If you also plan to fix anything in your own unit, budget that separately from the deal.