If you are looking for something a little more affordable, in gentrified central city terms, then there are subset neighborhoods of the more "known" ones.
In the Short North:
Look Into:
Italian Village, Specifically northern Italian Village (just south of 5th Ave.)
Look into:
Dennison Place, the northern section of Victorian Village.
If you go north of West 5th Ave and south of West 8th Ave, you will find a neighborhood more diverse than the rest of Victorian Village (being closer to Ohio State but not totally dominated by a student population.)
There are many homes and condos here that have just been built or renovated. The West sides of 5th to 8th are safe and in good shape. Many get these streets confused with EAST 8th, 7th, etc.. which are in a neighborhood called Weiland Park (known as one of the most dangerous areas of the north side.)
Weiland Park begins at EAST 5th ave. Everything south of East 5th is Italian Village and a great area.
For Clintonville:
Look into
OLD NORTH COLUMBUS
Some of the best deals on homes, many great properties waiting for a renovation, can be found in Old North Columbus.
Many confuse this area with the Ohio State University Residential District.
Old North Columbus and South Clintonville have many diverse housing options, beautiful ravines, affordable prices, and an area with increasing home ownership.
Boundaries
Old North Columbus' boundaries begin NORTH of Woodruff Ave and South of Arcadia Ave. South of the neighborhood is the University District and north of the neighborhood is the popular Clintonville neighborhood.
Old North Columbus includes several smaller neighborhoods within these general boundaries including; the Iuka Ravine, Indianola Forest, Oakland & Northwood Ave, and Glen Echo neighborhoods.
Other neighborhoods within Old North Columbus include Washington Beach, Washington Bluffs, So-Hud, and AwesomeTown. Washington Beach is the dominant neighborhood as well as the only place in the world named after a fictional location in a video game
The Neighborhood
Old North Columbus traditionally has a higher percentage of homeownership than the core campus area to the south. However, it combines the diversity and liveliness of an urban academic feel with the tranquility of a quiet family neighborhood.
Old North Columbus is home to three Columbus Public Schools; Medary Elementary, North High and the Special Needs Center, all of which are historically significant structures. It also has several churches, restaurants and other small businesses along High Street and Indianola Avenue.
Old North Columbus - Wikipedia, the free encyclopedia
For German Village:
Look into:
Merion Village
Merion Village is a neighborhood just south of German Village. The area has been on the upswing, with many younger couples and young professionals buying renovated homes and properties. Housing prices are more affordable, than German Village, and you still located near all of the shops and restaurants of the village and High St.
All of these neighborhoods are adjacent to or in the boundaries of the more popular neighborhoods, but will put you into an area that is on the upswing with a great diversity in housing options. If you mention this to your relator, or do a google search you will find more information.