Most of the casino hotels have bus stations in them. BUT. To answer >>what hotels are close to the bus station<< I guess The Claridge, which is not a casino & Ballys which is a casino with a bus station.
Have you looked at the travel times inbetween these cities? BTW, the Balto bus station is not really near much ~ welp, it is near the casino, but it's 2 miles or so to the Inner Harbor. Philly bus station is not that far from Independence Hall, probably around ½ a mile walk & it drops y'all off in the middle of Philly hustle&bustle, so plenty to see, hear & also eat along the way. And I've never been to the DC bus station, only the AMTRAK station. Someone else will need to assist with that one
Some of the nearby hotels do have a shuttle that will take you to the casino, and presumably pick you up at the bus station and/or casino (which really are next to each other). Also look here:
Specifically the Purple Route has stops on Charles St (look at the lower portion of the map shown here: http://www.charmcitycirculator.com/sites/default/files/Separate_RouteMaps_081417_PURPLE_3.pdf) which is really only as far as you need to walk.
If walking from the casino, I recommend going straight north until you get to the stadium, then take a right onto Ostend St until you get to Charles for the bus and/or Light St then go North to the Inner Harbor. I don't recommend walking on Stockholm Street. It may or may not have a sidewalk and there is often bums on the street there.
I'm not sure if this is current info, but I know years ago the busses were cheaper going to Atlantic City round trip. Not starting in Atlantic City. At least that's how greyhound was. Because of the casino booster programs.
I've known some frugal travelers who have used AC as an inexpensive weekday base to visit other locations with some clear headed planning. Especially using bus trips to Manhattan, NYC (which is most expensive on weekdays). And it's very easy to get to Philly by train from AC.
It's easy to get on a bus or to the AC bus or train station from any Boardwalk hotel location.
<<And I've never been to the DC bus station, only the AMTRAK station. Someone else will need to assist with that one>>
At your service :-)
A few years ago, they consolidated EVERYTHING at Union Station in DC (Amtrak, commuter trains, buses) - so buses are in the parking garage - second level I think it is - Greyhound, Bolt, Mega
>>A few years ago, they consolidated EVERYTHING at Union Station in DC<< I learned something today. Also, I have been in the DC bus station, dozens of times, I just didn't know it
And here is AC line info https://www.tripadvisor.com/Travel-g60795-c1… from the links at the top right. There is links at the top right of that↑ link↑ for getting around ♪ I get around, round, round, round ♫ Philly & public transit & more.
Greyhond buses are not the most reliable when leaving AC. They stop at one or two casinos before going to the bus depot for their final pick-up. There are times the buses fill up before they get to the bus terminal. You need to figure out which is the first casino it picks up at, which you can do by reading the schedule. You want to be at that casino plenty early to be assured of getting a seat.
I don't think it is the wisest plan to use AC as your base.