I own multiple rental properties in that area both east and west of peoria.
61st and Peoria earns its reputation due to the apartments, inhoffe plaza, and surrounding stuff on the west side of Peoria, the east side is much better crime wise just avoid being directly next to the apartments, especially those on 62nd.
My rentals on the east side of Peoria attract better tenants and have less issues than the west side.
The prices are lower in the area due to the perception of 61st and Peoria so you can buy lower and get in at a better sales price/rent multiple but the same perception will limit you when you sell so don't expect the perception to go away. You can buy low, but expect to sell low as well.
I have lived on the east side and would do so again, but understand it is a slightly lower class neighborhood than the rest of south Tulsa. Your significant other may have a different opinion so make sure they are up for working class and not professional neighbors.
The local elementary school is terrible, but Tulsa will let you opt into to a better one fairly easily.
I have picked up several foreclosures at rock bottom prices around here because everyone is scared of the area.
I can easily recommend it for rental property if you buy right, but as a personal house, the equation becomes trickier. I do not recommend trying to be an out of state landlord for the area. I buy a lot of foreclosures from out of state landlords.
Good luck.