Your hotel choices are all good.
Hampton Inn South and Springhill Suites are beside each other. The pool you probably saw google walking belongs to SHS even though it hugs Hampton Inn's parking decks.
SHS's outside pool is a nice feature and is in the full sun, no building shadow, so it's good for tanning or warm swimming. You can imagine in the summer it gets busy.
SHS also has a very large suite...850 sf I believe. It has a dedicated, walled, doored bedroom. The living room is available for sleeping as well and people sleeping there don't have to pass through the bedroom to get to the bathroom. There is one bathroom with a hall from the bedroom and another access to that hall from the kitchen/dining area.
SHS has a gigantic first floor with lots of colorful seating and tables for group hang outs...and a full wall of glass across the back. There's an indoor pool on the first floor too.
SHS has decks from some second floor rooms, very large and can be handy. We prefer a little higher up, though, for the broader view.
Hampton Inn was built in 2009 and SHS about a year before that. It has a bright indoor pool and those large rooms without the half wall thing that make it feel roomier.
Behind Hampton Inn and SHS is a children's play area in the sand. They are across the street from Subway, Il Gairdino, lots of beach supplies, the Christmas Mouse store, etc.
Not far is the Boardwalk-side summer extension of the amusement park a block back from the beach. The rides beside the boardwalk are sort of retro and just enough for some fun but not overdoing it if you like to stay along the boardwalk. This is at 15th. The Pier is at 15th also.
Holiday Inn Oceanside has a large lobby too, an indoor pool, and an onsite restaurant. I believe it was remodeled last summer.
Not far (At 22nd and Pacific) are two mini golf courses across the street from each other. Nearby are the usual...haunted house, old tipe pictures, food shops and Giovanni's restaurant. Wrapping around the corner of 21st is a Subway, 21st St. Grill, Albies Pizza and Quadalajara.
You can check out what boardwalk entertainment is going on so that you could stay closer to it...or not. Check that at www.visitvirginiabeach.com and www.beachstreetusa.com
If you want to explore a hotel a little further north you might take a look at Holiday Inn North Beach at the north end of the boardwalk...lots of pools, recently remodeled and expanded greatly.